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Finding the Third Proportional to 318,437 and 464,528

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Solution

The third proportional to 318,437 and 464,528 is: 677,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,437 : 464,528 = 464,528 : x
  2. Step 2: Convert to fraction form
    318,437/464,528 = 464,528/x
  3. Step 3: Cross multiply
    318,437x = 464,528 × 464,528
  4. Step 4: Simplify right side
    318,437x = 215,786,262,784
  5. Step 5: Solve for x
    x = 215,786,262,784/318,437
  6. Step 6: Final answer
    x = 677,641.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.