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Finding the Third Proportional to 31,988,034 and 69,073,139.81

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Solution

The third proportional to 31,988,034 and 69,073,139.81 is: 149,152,606.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988,034 : 69,073,139.81 = 69,073,139.81 : x
  2. Step 2: Convert to fraction form
    31,988,034/69,073,139.81 = 69,073,139.81/x
  3. Step 3: Cross multiply
    31,988,034x = 69,073,139.81 × 69,073,139.81
  4. Step 4: Simplify right side
    31,988,034x = 4,771,098,643,557,173
  5. Step 5: Solve for x
    x = 4,771,098,643,557,173/31,988,034
  6. Step 6: Final answer
    x = 149,152,606.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.