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Finding the Third Proportional to 300,753,114.75 and 478,557,319.50

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Solution

The third proportional to 300,753,114.75 and 478,557,319.50 is: 761,478,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,753,114.75 : 478,557,319.50 = 478,557,319.50 : x
  2. Step 2: Convert to fraction form
    300,753,114.75/478,557,319.50 = 478,557,319.50/x
  3. Step 3: Cross multiply
    300,753,114.75x = 478,557,319.50 × 478,557,319.50
  4. Step 4: Simplify right side
    300,753,114.75x = 229,017,108,047,025,088
  5. Step 5: Solve for x
    x = 229,017,108,047,025,088/300,753,114.75
  6. Step 6: Final answer
    x = 761,478,757.21

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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.