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Finding the Third Proportional to 478,799 and 723,909

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Solution

The third proportional to 478,799 and 723,909 is: 1,094,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,799 : 723,909 = 723,909 : x
  2. Step 2: Convert to fraction form
    478,799/723,909 = 723,909/x
  3. Step 3: Cross multiply
    478,799x = 723,909 × 723,909
  4. Step 4: Simplify right side
    478,799x = 524,044,240,281
  5. Step 5: Solve for x
    x = 524,044,240,281/478,799
  6. Step 6: Final answer
    x = 1,094,497.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.