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Finding the Third Proportional to 128,169,524 and 198,587,271

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Solution

The third proportional to 128,169,524 and 198,587,271 is: 307,693,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,169,524 : 198,587,271 = 198,587,271 : x
  2. Step 2: Convert to fraction form
    128,169,524/198,587,271 = 198,587,271/x
  3. Step 3: Cross multiply
    128,169,524x = 198,587,271 × 198,587,271
  4. Step 4: Simplify right side
    128,169,524x = 39,436,904,203,227,440
  5. Step 5: Solve for x
    x = 39,436,904,203,227,440/128,169,524
  6. Step 6: Final answer
    x = 307,693,303.15

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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.