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Finding the Third Proportional to 478,816.31 and 902,274.19

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Solution

The third proportional to 478,816.31 and 902,274.19 is: 1,700,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,816.31 : 902,274.19 = 902,274.19 : x
  2. Step 2: Convert to fraction form
    478,816.31/902,274.19 = 902,274.19/x
  3. Step 3: Cross multiply
    478,816.31x = 902,274.19 × 902,274.19
  4. Step 4: Simplify right side
    478,816.31x = 814,098,709,428.79
  5. Step 5: Solve for x
    x = 814,098,709,428.79/478,816.31
  6. Step 6: Final answer
    x = 1,700,231.78

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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.