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Finding the Third Proportional to 97,602 and 207,840

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Solution

The third proportional to 97,602 and 207,840 is: 442,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,602 : 207,840 = 207,840 : x
  2. Step 2: Convert to fraction form
    97,602/207,840 = 207,840/x
  3. Step 3: Cross multiply
    97,602x = 207,840 × 207,840
  4. Step 4: Simplify right side
    97,602x = 43,197,465,600
  5. Step 5: Solve for x
    x = 43,197,465,600/97,602
  6. Step 6: Final answer
    x = 442,587.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.