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Finding the Third Proportional to 61,416 and 90,102

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Solution

The third proportional to 61,416 and 90,102 is: 132,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 90,102 = 90,102 : x
  2. Step 2: Convert to fraction form
    61,416/90,102 = 90,102/x
  3. Step 3: Cross multiply
    61,416x = 90,102 × 90,102
  4. Step 4: Simplify right side
    61,416x = 8,118,370,404
  5. Step 5: Solve for x
    x = 8,118,370,404/61,416
  6. Step 6: Final answer
    x = 132,186.57

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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.