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Finding the Third Proportional to 59,516 and 87,621

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Solution

The third proportional to 59,516 and 87,621 is: 128,997.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,516 : 87,621 = 87,621 : x
  2. Step 2: Convert to fraction form
    59,516/87,621 = 87,621/x
  3. Step 3: Cross multiply
    59,516x = 87,621 × 87,621
  4. Step 4: Simplify right side
    59,516x = 7,677,439,641
  5. Step 5: Solve for x
    x = 7,677,439,641/59,516
  6. Step 6: Final answer
    x = 128,997.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.