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Finding the Third Proportional to 247,509 and 386,046

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Solution

The third proportional to 247,509 and 386,046 is: 602,125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,509 : 386,046 = 386,046 : x
  2. Step 2: Convert to fraction form
    247,509/386,046 = 386,046/x
  3. Step 3: Cross multiply
    247,509x = 386,046 × 386,046
  4. Step 4: Simplify right side
    247,509x = 149,031,514,116
  5. Step 5: Solve for x
    x = 149,031,514,116/247,509
  6. Step 6: Final answer
    x = 602,125.64

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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.