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Finding the Third Proportional to 38,774,988 and 81,561,240

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Solution

The third proportional to 38,774,988 and 81,561,240 is: 171,559,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,774,988 : 81,561,240 = 81,561,240 : x
  2. Step 2: Convert to fraction form
    38,774,988/81,561,240 = 81,561,240/x
  3. Step 3: Cross multiply
    38,774,988x = 81,561,240 × 81,561,240
  4. Step 4: Simplify right side
    38,774,988x = 6,652,235,870,337,600
  5. Step 5: Solve for x
    x = 6,652,235,870,337,600/38,774,988
  6. Step 6: Final answer
    x = 171,559,972.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.