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Finding the Third Proportional to 66,210 and 102,586

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Solution

The third proportional to 66,210 and 102,586 is: 158,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,210 : 102,586 = 102,586 : x
  2. Step 2: Convert to fraction form
    66,210/102,586 = 102,586/x
  3. Step 3: Cross multiply
    66,210x = 102,586 × 102,586
  4. Step 4: Simplify right side
    66,210x = 10,523,887,396
  5. Step 5: Solve for x
    x = 10,523,887,396/66,210
  6. Step 6: Final answer
    x = 158,947.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.