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Finding the Third Proportional to 72,106.50 and 156,381

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Solution

The third proportional to 72,106.50 and 156,381 is: 339,151.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,106.50 : 156,381 = 156,381 : x
  2. Step 2: Convert to fraction form
    72,106.50/156,381 = 156,381/x
  3. Step 3: Cross multiply
    72,106.50x = 156,381 × 156,381
  4. Step 4: Simplify right side
    72,106.50x = 24,455,017,161
  5. Step 5: Solve for x
    x = 24,455,017,161/72,106.50
  6. Step 6: Final answer
    x = 339,151.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.