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Finding the Third Proportional to 315,413 and 472,651

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Solution

The third proportional to 315,413 and 472,651 is: 708,274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,413 : 472,651 = 472,651 : x
  2. Step 2: Convert to fraction form
    315,413/472,651 = 472,651/x
  3. Step 3: Cross multiply
    315,413x = 472,651 × 472,651
  4. Step 4: Simplify right side
    315,413x = 223,398,967,801
  5. Step 5: Solve for x
    x = 223,398,967,801/315,413
  6. Step 6: Final answer
    x = 708,274.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.