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Finding the Third Proportional to 300,753,264.94 and 478,557,580.78

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Solution

The third proportional to 300,753,264.94 and 478,557,580.78 is: 761,479,208.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,264.94 : 478,557,580.78 = 478,557,580.78 : x
  2. Step 2: Convert to fraction form
    300,753,264.94/478,557,580.78 = 478,557,580.78/x
  3. Step 3: Cross multiply
    300,753,264.94x = 478,557,580.78 × 478,557,580.78
  4. Step 4: Simplify right side
    300,753,264.94x = 229,017,358,123,202,624
  5. Step 5: Solve for x
    x = 229,017,358,123,202,624/300,753,264.94
  6. Step 6: Final answer
    x = 761,479,208.45

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.