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Finding the Third Proportional to 155,615.34 and 247,031.02

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Solution

The third proportional to 155,615.34 and 247,031.02 is: 392,148.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,615.34 : 247,031.02 = 247,031.02 : x
  2. Step 2: Convert to fraction form
    155,615.34/247,031.02 = 247,031.02/x
  3. Step 3: Cross multiply
    155,615.34x = 247,031.02 × 247,031.02
  4. Step 4: Simplify right side
    155,615.34x = 61,024,322,680.72
  5. Step 5: Solve for x
    x = 61,024,322,680.72/155,615.34
  6. Step 6: Final answer
    x = 392,148.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.