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Finding the Third Proportional to 231,067,278 and 358,941,438

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Solution

The third proportional to 231,067,278 and 358,941,438 is: 557,582,003.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,067,278 : 358,941,438 = 358,941,438 : x
  2. Step 2: Convert to fraction form
    231,067,278/358,941,438 = 358,941,438/x
  3. Step 3: Cross multiply
    231,067,278x = 358,941,438 × 358,941,438
  4. Step 4: Simplify right side
    231,067,278x = 128,838,955,913,507,840
  5. Step 5: Solve for x
    x = 128,838,955,913,507,840/231,067,278
  6. Step 6: Final answer
    x = 557,582,003.95

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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.