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Finding the Third Proportional to 454,365 and 712,809

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Solution

The third proportional to 454,365 and 712,809 is: 1,118,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,365 : 712,809 = 712,809 : x
  2. Step 2: Convert to fraction form
    454,365/712,809 = 712,809/x
  3. Step 3: Cross multiply
    454,365x = 712,809 × 712,809
  4. Step 4: Simplify right side
    454,365x = 508,096,670,481
  5. Step 5: Solve for x
    x = 508,096,670,481/454,365
  6. Step 6: Final answer
    x = 1,118,256.62

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.