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Finding the Third Proportional to 309,712 and 473,448

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Solution

The third proportional to 309,712 and 473,448 is: 723,746.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,712 : 473,448 = 473,448 : x
  2. Step 2: Convert to fraction form
    309,712/473,448 = 473,448/x
  3. Step 3: Cross multiply
    309,712x = 473,448 × 473,448
  4. Step 4: Simplify right side
    309,712x = 224,153,008,704
  5. Step 5: Solve for x
    x = 224,153,008,704/309,712
  6. Step 6: Final answer
    x = 723,746.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.