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Finding the Third Proportional to 162,585 and 215,721

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Solution

The third proportional to 162,585 and 215,721 is: 286,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,585 : 215,721 = 215,721 : x
  2. Step 2: Convert to fraction form
    162,585/215,721 = 215,721/x
  3. Step 3: Cross multiply
    162,585x = 215,721 × 215,721
  4. Step 4: Simplify right side
    162,585x = 46,535,549,841
  5. Step 5: Solve for x
    x = 46,535,549,841/162,585
  6. Step 6: Final answer
    x = 286,222.90

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.