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Finding the Third Proportional to 650,578,420.69 and 991,121,631.19

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Solution

The third proportional to 650,578,420.69 and 991,121,631.19 is: 1,509,921,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578,420.69 : 991,121,631.19 = 991,121,631.19 : x
  2. Step 2: Convert to fraction form
    650,578,420.69/991,121,631.19 = 991,121,631.19/x
  3. Step 3: Cross multiply
    650,578,420.69x = 991,121,631.19 × 991,121,631.19
  4. Step 4: Simplify right side
    650,578,420.69x = 982,322,087,807,770,752
  5. Step 5: Solve for x
    x = 982,322,087,807,770,752/650,578,420.69
  6. Step 6: Final answer
    x = 1,509,921,104.93

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1.5x scale

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.