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Finding the Third Proportional to 40,598 and 87,658

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Solution

The third proportional to 40,598 and 87,658 is: 189,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,598 : 87,658 = 87,658 : x
  2. Step 2: Convert to fraction form
    40,598/87,658 = 87,658/x
  3. Step 3: Cross multiply
    40,598x = 87,658 × 87,658
  4. Step 4: Simplify right side
    40,598x = 7,683,924,964
  5. Step 5: Solve for x
    x = 7,683,924,964/40,598
  6. Step 6: Final answer
    x = 189,268.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.