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Finding the Third Proportional to 270,572.91 and 420,587.44

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Solution

The third proportional to 270,572.91 and 420,587.44 is: 653,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,572.91 : 420,587.44 = 420,587.44 : x
  2. Step 2: Convert to fraction form
    270,572.91/420,587.44 = 420,587.44/x
  3. Step 3: Cross multiply
    270,572.91x = 420,587.44 × 420,587.44
  4. Step 4: Simplify right side
    270,572.91x = 176,893,792,582.82
  5. Step 5: Solve for x
    x = 176,893,792,582.82/270,572.91
  6. Step 6: Final answer
    x = 653,774.97

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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.