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Finding the Third Proportional to 122,415 and 156,070.50

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Solution

The third proportional to 122,415 and 156,070.50 is: 198,978.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,415 : 156,070.50 = 156,070.50 : x
  2. Step 2: Convert to fraction form
    122,415/156,070.50 = 156,070.50/x
  3. Step 3: Cross multiply
    122,415x = 156,070.50 × 156,070.50
  4. Step 4: Simplify right side
    122,415x = 24,358,000,970.25
  5. Step 5: Solve for x
    x = 24,358,000,970.25/122,415
  6. Step 6: Final answer
    x = 198,978.89

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.