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Finding the Third Proportional to 67,685 and 99,565

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Solution

The third proportional to 67,685 and 99,565 is: 146,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,685 : 99,565 = 99,565 : x
  2. Step 2: Convert to fraction form
    67,685/99,565 = 99,565/x
  3. Step 3: Cross multiply
    67,685x = 99,565 × 99,565
  4. Step 4: Simplify right side
    67,685x = 9,913,189,225
  5. Step 5: Solve for x
    x = 9,913,189,225/67,685
  6. Step 6: Final answer
    x = 146,460.65

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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.