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Finding the Third Proportional to 390,999.66 and 624,439.13

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Solution

The third proportional to 390,999.66 and 624,439.13 is: 997,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,999.66 : 624,439.13 = 624,439.13 : x
  2. Step 2: Convert to fraction form
    390,999.66/624,439.13 = 624,439.13/x
  3. Step 3: Cross multiply
    390,999.66x = 624,439.13 × 624,439.13
  4. Step 4: Simplify right side
    390,999.66x = 389,924,220,830.77
  5. Step 5: Solve for x
    x = 389,924,220,830.77/390,999.66
  6. Step 6: Final answer
    x = 997,249.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.