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Finding the Third Proportional to 51,762,540 and 81,193,122

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Solution

The third proportional to 51,762,540 and 81,193,122 is: 127,357,024.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762,540 : 81,193,122 = 81,193,122 : x
  2. Step 2: Convert to fraction form
    51,762,540/81,193,122 = 81,193,122/x
  3. Step 3: Cross multiply
    51,762,540x = 81,193,122 × 81,193,122
  4. Step 4: Simplify right side
    51,762,540x = 6,592,323,060,106,884
  5. Step 5: Solve for x
    x = 6,592,323,060,106,884/51,762,540
  6. Step 6: Final answer
    x = 127,357,024.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.