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Finding the Third Proportional to 493,608,620,918 and 695,109,709,683

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Solution

The third proportional to 493,608,620,918 and 695,109,709,683 is: 978,867,645,376.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,608,620,918 : 695,109,709,683 = 695,109,709,683 : x
  2. Step 2: Convert to fraction form
    493,608,620,918/695,109,709,683 = 695,109,709,683/x
  3. Step 3: Cross multiply
    493,608,620,918x = 695,109,709,683 × 695,109,709,683
  4. Step 4: Simplify right side
    493,608,620,918x = 483,177,508,495,584,567,230,464
  5. Step 5: Solve for x
    x = 483,177,508,495,584,567,230,464/493,608,620,918
  6. Step 6: Final answer
    x = 978,867,645,376.58

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.