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Finding the Third Proportional to 85,234 and 133,709

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Solution

The third proportional to 85,234 and 133,709 is: 209,753.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234 : 133,709 = 133,709 : x
  2. Step 2: Convert to fraction form
    85,234/133,709 = 133,709/x
  3. Step 3: Cross multiply
    85,234x = 133,709 × 133,709
  4. Step 4: Simplify right side
    85,234x = 17,878,096,681
  5. Step 5: Solve for x
    x = 17,878,096,681/85,234
  6. Step 6: Final answer
    x = 209,753.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.