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Finding the Third Proportional to 129,205,141 and 198,597,545

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Solution

The third proportional to 129,205,141 and 198,597,545 is: 305,258,634.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,141 : 198,597,545 = 198,597,545 : x
  2. Step 2: Convert to fraction form
    129,205,141/198,597,545 = 198,597,545/x
  3. Step 3: Cross multiply
    129,205,141x = 198,597,545 × 198,597,545
  4. Step 4: Simplify right side
    129,205,141x = 39,440,984,880,027,024
  5. Step 5: Solve for x
    x = 39,440,984,880,027,024/129,205,141
  6. Step 6: Final answer
    x = 305,258,634.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.