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Finding the Third Proportional to 650,578,484.25 and 991,121,688.38

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Solution

The third proportional to 650,578,484.25 and 991,121,688.38 is: 1,509,921,131.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578,484.25 : 991,121,688.38 = 991,121,688.38 : x
  2. Step 2: Convert to fraction form
    650,578,484.25/991,121,688.38 = 991,121,688.38/x
  3. Step 3: Cross multiply
    650,578,484.25x = 991,121,688.38 × 991,121,688.38
  4. Step 4: Simplify right side
    650,578,484.25x = 982,322,201,167,310,592
  5. Step 5: Solve for x
    x = 982,322,201,167,310,592/650,578,484.25
  6. Step 6: Final answer
    x = 1,509,921,131.65

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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.