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Finding the Third Proportional to 462,914 and 721,435

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Solution

The third proportional to 462,914 and 721,435 is: 1,124,330.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,914 : 721,435 = 721,435 : x
  2. Step 2: Convert to fraction form
    462,914/721,435 = 721,435/x
  3. Step 3: Cross multiply
    462,914x = 721,435 × 721,435
  4. Step 4: Simplify right side
    462,914x = 520,468,459,225
  5. Step 5: Solve for x
    x = 520,468,459,225/462,914
  6. Step 6: Final answer
    x = 1,124,330.78

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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.