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Finding the Third Proportional to 287,858,655 and 442,182,451

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Solution

The third proportional to 287,858,655 and 442,182,451 is: 679,240,719.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,858,655 : 442,182,451 = 442,182,451 : x
  2. Step 2: Convert to fraction form
    287,858,655/442,182,451 = 442,182,451/x
  3. Step 3: Cross multiply
    287,858,655x = 442,182,451 × 442,182,451
  4. Step 4: Simplify right side
    287,858,655x = 195,525,319,972,367,392
  5. Step 5: Solve for x
    x = 195,525,319,972,367,392/287,858,655
  6. Step 6: Final answer
    x = 679,240,719.62

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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.