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Finding the Third Proportional to 65,718 and 137,712

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Solution

The third proportional to 65,718 and 137,712 is: 288,575.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718 : 137,712 = 137,712 : x
  2. Step 2: Convert to fraction form
    65,718/137,712 = 137,712/x
  3. Step 3: Cross multiply
    65,718x = 137,712 × 137,712
  4. Step 4: Simplify right side
    65,718x = 18,964,594,944
  5. Step 5: Solve for x
    x = 18,964,594,944/65,718
  6. Step 6: Final answer
    x = 288,575.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.