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Finding the Third Proportional to 52,780,960 and 81,725,440

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Solution

The third proportional to 52,780,960 and 81,725,440 is: 126,542,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,780,960 : 81,725,440 = 81,725,440 : x
  2. Step 2: Convert to fraction form
    52,780,960/81,725,440 = 81,725,440/x
  3. Step 3: Cross multiply
    52,780,960x = 81,725,440 × 81,725,440
  4. Step 4: Simplify right side
    52,780,960x = 6,679,047,543,193,600
  5. Step 5: Solve for x
    x = 6,679,047,543,193,600/52,780,960
  6. Step 6: Final answer
    x = 126,542,744.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.