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Finding the Third Proportional to 147,774.38 and 216,421.88

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Solution

The third proportional to 147,774.38 and 216,421.88 is: 316,959.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,774.38 : 216,421.88 = 216,421.88 : x
  2. Step 2: Convert to fraction form
    147,774.38/216,421.88 = 216,421.88/x
  3. Step 3: Cross multiply
    147,774.38x = 216,421.88 × 216,421.88
  4. Step 4: Simplify right side
    147,774.38x = 46,838,427,978.52
  5. Step 5: Solve for x
    x = 46,838,427,978.52/147,774.38
  6. Step 6: Final answer
    x = 316,959.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.