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Finding the Third Proportional to 270,498.87 and 420,514.35

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Solution

The third proportional to 270,498.87 and 420,514.35 is: 653,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,498.87 : 420,514.35 = 420,514.35 : x
  2. Step 2: Convert to fraction form
    270,498.87/420,514.35 = 420,514.35/x
  3. Step 3: Cross multiply
    270,498.87x = 420,514.35 × 420,514.35
  4. Step 4: Simplify right side
    270,498.87x = 176,832,316,584.75
  5. Step 5: Solve for x
    x = 176,832,316,584.75/270,498.87
  6. Step 6: Final answer
    x = 653,726.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.