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Finding the Third Proportional to 85,681 and 185,663

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Solution

The third proportional to 85,681 and 185,663 is: 402,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,681 : 185,663 = 185,663 : x
  2. Step 2: Convert to fraction form
    85,681/185,663 = 185,663/x
  3. Step 3: Cross multiply
    85,681x = 185,663 × 185,663
  4. Step 4: Simplify right side
    85,681x = 34,470,749,569
  5. Step 5: Solve for x
    x = 34,470,749,569/85,681
  6. Step 6: Final answer
    x = 402,314.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.