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Finding the Third Proportional to 315,418 and 472,658

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Solution

The third proportional to 315,418 and 472,658 is: 708,284.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,418 : 472,658 = 472,658 : x
  2. Step 2: Convert to fraction form
    315,418/472,658 = 472,658/x
  3. Step 3: Cross multiply
    315,418x = 472,658 × 472,658
  4. Step 4: Simplify right side
    315,418x = 223,405,584,964
  5. Step 5: Solve for x
    x = 223,405,584,964/315,418
  6. Step 6: Final answer
    x = 708,284.20

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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.