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Finding the Third Proportional to 102,440,544 and 156,262,464

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Solution

The third proportional to 102,440,544 and 156,262,464 is: 238,362,241.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,440,544 : 156,262,464 = 156,262,464 : x
  2. Step 2: Convert to fraction form
    102,440,544/156,262,464 = 156,262,464/x
  3. Step 3: Cross multiply
    102,440,544x = 156,262,464 × 156,262,464
  4. Step 4: Simplify right side
    102,440,544x = 24,417,957,655,351,296
  5. Step 5: Solve for x
    x = 24,417,957,655,351,296/102,440,544
  6. Step 6: Final answer
    x = 238,362,241.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.