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Finding the Third Proportional to 476,306 and 648,651

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Solution

The third proportional to 476,306 and 648,651 is: 883,356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,306 : 648,651 = 648,651 : x
  2. Step 2: Convert to fraction form
    476,306/648,651 = 648,651/x
  3. Step 3: Cross multiply
    476,306x = 648,651 × 648,651
  4. Step 4: Simplify right side
    476,306x = 420,748,119,801
  5. Step 5: Solve for x
    x = 420,748,119,801/476,306
  6. Step 6: Final answer
    x = 883,356.75

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.