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Finding the Third Proportional to 144,031.50 and 224,343

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Solution

The third proportional to 144,031.50 and 224,343 is: 349,435.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,031.50 : 224,343 = 224,343 : x
  2. Step 2: Convert to fraction form
    144,031.50/224,343 = 224,343/x
  3. Step 3: Cross multiply
    144,031.50x = 224,343 × 224,343
  4. Step 4: Simplify right side
    144,031.50x = 50,329,781,649
  5. Step 5: Solve for x
    x = 50,329,781,649/144,031.50
  6. Step 6: Final answer
    x = 349,435.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.