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Finding the Third Proportional to 125,678,259 and 196,155,441

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Solution

The third proportional to 125,678,259 and 196,155,441 is: 306,154,440.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,678,259 : 196,155,441 = 196,155,441 : x
  2. Step 2: Convert to fraction form
    125,678,259/196,155,441 = 196,155,441/x
  3. Step 3: Cross multiply
    125,678,259x = 196,155,441 × 196,155,441
  4. Step 4: Simplify right side
    125,678,259x = 38,476,957,033,904,480
  5. Step 5: Solve for x
    x = 38,476,957,033,904,480/125,678,259
  6. Step 6: Final answer
    x = 306,154,440.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.