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Finding the Third Proportional to 309,264.75 and 478,861.88

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Solution

The third proportional to 309,264.75 and 478,861.88 is: 741,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,264.75 : 478,861.88 = 478,861.88 : x
  2. Step 2: Convert to fraction form
    309,264.75/478,861.88 = 478,861.88/x
  3. Step 3: Cross multiply
    309,264.75x = 478,861.88 × 478,861.88
  4. Step 4: Simplify right side
    309,264.75x = 229,308,695,328.52
  5. Step 5: Solve for x
    x = 229,308,695,328.52/309,264.75
  6. Step 6: Final answer
    x = 741,464.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.