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Finding the Third Proportional to 187,877.81 and 291,031.69

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Solution

The third proportional to 187,877.81 and 291,031.69 is: 450,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,877.81 : 291,031.69 = 291,031.69 : x
  2. Step 2: Convert to fraction form
    187,877.81/291,031.69 = 291,031.69/x
  3. Step 3: Cross multiply
    187,877.81x = 291,031.69 × 291,031.69
  4. Step 4: Simplify right side
    187,877.81x = 84,699,443,129.10
  5. Step 5: Solve for x
    x = 84,699,443,129.10/187,877.81
  6. Step 6: Final answer
    x = 450,821.96

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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.