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Finding the Third Proportional to 72,808,728.75 and 156,423,417.75

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Solution

The third proportional to 72,808,728.75 and 156,423,417.75 is: 336,062,530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808,728.75 : 156,423,417.75 = 156,423,417.75 : x
  2. Step 2: Convert to fraction form
    72,808,728.75/156,423,417.75 = 156,423,417.75/x
  3. Step 3: Cross multiply
    72,808,728.75x = 156,423,417.75 × 156,423,417.75
  4. Step 4: Simplify right side
    72,808,728.75x = 24,468,285,620,591,016
  5. Step 5: Solve for x
    x = 24,468,285,620,591,016/72,808,728.75
  6. Step 6: Final answer
    x = 336,062,530.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.