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Finding the Third Proportional to 270,881.72 and 402,423.19

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Solution

The third proportional to 270,881.72 and 402,423.19 is: 597,841.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,881.72 : 402,423.19 = 402,423.19 : x
  2. Step 2: Convert to fraction form
    270,881.72/402,423.19 = 402,423.19/x
  3. Step 3: Cross multiply
    270,881.72x = 402,423.19 × 402,423.19
  4. Step 4: Simplify right side
    270,881.72x = 161,944,421,837.66
  5. Step 5: Solve for x
    x = 161,944,421,837.66/270,881.72
  6. Step 6: Final answer
    x = 597,841.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.