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Finding the Third Proportional to 462,910 and 721,430

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Solution

The third proportional to 462,910 and 721,430 is: 1,124,324.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,910 : 721,430 = 721,430 : x
  2. Step 2: Convert to fraction form
    462,910/721,430 = 721,430/x
  3. Step 3: Cross multiply
    462,910x = 721,430 × 721,430
  4. Step 4: Simplify right side
    462,910x = 520,461,244,900
  5. Step 5: Solve for x
    x = 520,461,244,900/462,910
  6. Step 6: Final answer
    x = 1,124,324.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.