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Finding the Third Proportional to 8,972,127 and 19,681,281

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Solution

The third proportional to 8,972,127 and 19,681,281 is: 43,172,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972,127 : 19,681,281 = 19,681,281 : x
  2. Step 2: Convert to fraction form
    8,972,127/19,681,281 = 19,681,281/x
  3. Step 3: Cross multiply
    8,972,127x = 19,681,281 × 19,681,281
  4. Step 4: Simplify right side
    8,972,127x = 387,352,821,800,961
  5. Step 5: Solve for x
    x = 387,352,821,800,961/8,972,127
  6. Step 6: Final answer
    x = 43,172,908.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.