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Finding the Third Proportional to 478,819.13 and 902,278.13

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Solution

The third proportional to 478,819.13 and 902,278.13 is: 1,700,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,819.13 : 902,278.13 = 902,278.13 : x
  2. Step 2: Convert to fraction form
    478,819.13/902,278.13 = 902,278.13/x
  3. Step 3: Cross multiply
    478,819.13x = 902,278.13 × 902,278.13
  4. Step 4: Simplify right side
    478,819.13x = 814,105,814,853.52
  5. Step 5: Solve for x
    x = 814,105,814,853.52/478,819.13
  6. Step 6: Final answer
    x = 1,700,236.63

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.