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Finding the Third Proportional to 287,287,740 and 445,752,643.50

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Solution

The third proportional to 287,287,740 and 445,752,643.50 is: 691,625,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,287,740 : 445,752,643.50 = 445,752,643.50 : x
  2. Step 2: Convert to fraction form
    287,287,740/445,752,643.50 = 445,752,643.50/x
  3. Step 3: Cross multiply
    287,287,740x = 445,752,643.50 × 445,752,643.50
  4. Step 4: Simplify right side
    287,287,740x = 198,695,419,187,238,080
  5. Step 5: Solve for x
    x = 198,695,419,187,238,080/287,287,740
  6. Step 6: Final answer
    x = 691,625,125.34

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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.