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Finding the Third Proportional to 640,505,260 and 1,298,833,328

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Solution

The third proportional to 640,505,260 and 1,298,833,328 is: 2,633,808,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,505,260 : 1,298,833,328 = 1,298,833,328 : x
  2. Step 2: Convert to fraction form
    640,505,260/1,298,833,328 = 1,298,833,328/x
  3. Step 3: Cross multiply
    640,505,260x = 1,298,833,328 × 1,298,833,328
  4. Step 4: Simplify right side
    640,505,260x = 1,686,968,013,923,555,584
  5. Step 5: Solve for x
    x = 1,686,968,013,923,555,584/640,505,260
  6. Step 6: Final answer
    x = 2,633,808,212.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.