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Finding the Third Proportional to 85,015,010 and 181,849,540

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Solution

The third proportional to 85,015,010 and 181,849,540 is: 388,981,371.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,015,010 : 181,849,540 = 181,849,540 : x
  2. Step 2: Convert to fraction form
    85,015,010/181,849,540 = 181,849,540/x
  3. Step 3: Cross multiply
    85,015,010x = 181,849,540 × 181,849,540
  4. Step 4: Simplify right side
    85,015,010x = 33,069,255,198,211,600
  5. Step 5: Solve for x
    x = 33,069,255,198,211,600/85,015,010
  6. Step 6: Final answer
    x = 388,981,371.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.