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Finding the Third Proportional to 84,655,420 and 126,653,658

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Solution

The third proportional to 84,655,420 and 126,653,658 is: 189,487,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,655,420 : 126,653,658 = 126,653,658 : x
  2. Step 2: Convert to fraction form
    84,655,420/126,653,658 = 126,653,658/x
  3. Step 3: Cross multiply
    84,655,420x = 126,653,658 × 126,653,658
  4. Step 4: Simplify right side
    84,655,420x = 16,041,149,084,780,964
  5. Step 5: Solve for x
    x = 16,041,149,084,780,964/84,655,420
  6. Step 6: Final answer
    x = 189,487,561.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.