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Finding the Third Proportional to 247,510 and 386,047

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Solution

The third proportional to 247,510 and 386,047 is: 602,126.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,510 : 386,047 = 386,047 : x
  2. Step 2: Convert to fraction form
    247,510/386,047 = 386,047/x
  3. Step 3: Cross multiply
    247,510x = 386,047 × 386,047
  4. Step 4: Simplify right side
    247,510x = 149,032,286,209
  5. Step 5: Solve for x
    x = 149,032,286,209/247,510
  6. Step 6: Final answer
    x = 602,126.32

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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.