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Finding the Third Proportional to 7,657,131 and 11,862,157

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Solution

The third proportional to 7,657,131 and 11,862,157 is: 18,376,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657,131 : 11,862,157 = 11,862,157 : x
  2. Step 2: Convert to fraction form
    7,657,131/11,862,157 = 11,862,157/x
  3. Step 3: Cross multiply
    7,657,131x = 11,862,157 × 11,862,157
  4. Step 4: Simplify right side
    7,657,131x = 140,710,768,692,649
  5. Step 5: Solve for x
    x = 140,710,768,692,649/7,657,131
  6. Step 6: Final answer
    x = 18,376,434.82

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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.