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Finding the Third Proportional to 156,133.50 and 246,988.50

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Solution

The third proportional to 156,133.50 and 246,988.50 is: 390,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,133.50 : 246,988.50 = 246,988.50 : x
  2. Step 2: Convert to fraction form
    156,133.50/246,988.50 = 246,988.50/x
  3. Step 3: Cross multiply
    156,133.50x = 246,988.50 × 246,988.50
  4. Step 4: Simplify right side
    156,133.50x = 61,003,319,132.25
  5. Step 5: Solve for x
    x = 61,003,319,132.25/156,133.50
  6. Step 6: Final answer
    x = 390,712.56

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.