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Finding the Third Proportional to 650,578,434.19 and 991,121,651.44

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Solution

The third proportional to 650,578,434.19 and 991,121,651.44 is: 1,509,921,135.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578,434.19 : 991,121,651.44 = 991,121,651.44 : x
  2. Step 2: Convert to fraction form
    650,578,434.19/991,121,651.44 = 991,121,651.44/x
  3. Step 3: Cross multiply
    650,578,434.19x = 991,121,651.44 × 991,121,651.44
  4. Step 4: Simplify right side
    650,578,434.19x = 982,322,127,948,197,248
  5. Step 5: Solve for x
    x = 982,322,127,948,197,248/650,578,434.19
  6. Step 6: Final answer
    x = 1,509,921,135.30

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.