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Finding the Third Proportional to 85,511 and 185,623

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Solution

The third proportional to 85,511 and 185,623 is: 402,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,511 : 185,623 = 185,623 : x
  2. Step 2: Convert to fraction form
    85,511/185,623 = 185,623/x
  3. Step 3: Cross multiply
    85,511x = 185,623 × 185,623
  4. Step 4: Simplify right side
    85,511x = 34,455,898,129
  5. Step 5: Solve for x
    x = 34,455,898,129/85,511
  6. Step 6: Final answer
    x = 402,941.12

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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.