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Finding the Third Proportional to 161,356 and 215,511

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Solution

The third proportional to 161,356 and 215,511 is: 287,841.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,356 : 215,511 = 215,511 : x
  2. Step 2: Convert to fraction form
    161,356/215,511 = 215,511/x
  3. Step 3: Cross multiply
    161,356x = 215,511 × 215,511
  4. Step 4: Simplify right side
    161,356x = 46,444,991,121
  5. Step 5: Solve for x
    x = 46,444,991,121/161,356
  6. Step 6: Final answer
    x = 287,841.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.