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Finding the Third Proportional to 83,802,382 and 129,290,618.63

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Solution

The third proportional to 83,802,382 and 129,290,618.63 is: 199,470,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,802,382 : 129,290,618.63 = 129,290,618.63 : x
  2. Step 2: Convert to fraction form
    83,802,382/129,290,618.63 = 129,290,618.63/x
  3. Step 3: Cross multiply
    83,802,382x = 129,290,618.63 × 129,290,618.63
  4. Step 4: Simplify right side
    83,802,382x = 16,716,064,064,435,196
  5. Step 5: Solve for x
    x = 16,716,064,064,435,196/83,802,382
  6. Step 6: Final answer
    x = 199,470,034.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.