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Finding the Third Proportional to 315,346.50 and 709,634.25

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Solution

The third proportional to 315,346.50 and 709,634.25 is: 1,596,912.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,346.50 : 709,634.25 = 709,634.25 : x
  2. Step 2: Convert to fraction form
    315,346.50/709,634.25 = 709,634.25/x
  3. Step 3: Cross multiply
    315,346.50x = 709,634.25 × 709,634.25
  4. Step 4: Simplify right side
    315,346.50x = 503,580,768,773.06
  5. Step 5: Solve for x
    x = 503,580,768,773.06/315,346.50
  6. Step 6: Final answer
    x = 1,596,912.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.