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Finding the Third Proportional to 650,578,482.81 and 991,121,686.14

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Solution

The third proportional to 650,578,482.81 and 991,121,686.14 is: 1,509,921,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,578,482.81 : 991,121,686.14 = 991,121,686.14 : x
  2. Step 2: Convert to fraction form
    650,578,482.81/991,121,686.14 = 991,121,686.14/x
  3. Step 3: Cross multiply
    650,578,482.81x = 991,121,686.14 × 991,121,686.14
  4. Step 4: Simplify right side
    650,578,482.81x = 982,322,196,730,395,776
  5. Step 5: Solve for x
    x = 982,322,196,730,395,776/650,578,482.81
  6. Step 6: Final answer
    x = 1,509,921,128.18

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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.