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Finding the Third Proportional to 405,654.33 and 630,624.87

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Solution

The third proportional to 405,654.33 and 630,624.87 is: 980,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,654.33 : 630,624.87 = 630,624.87 : x
  2. Step 2: Convert to fraction form
    405,654.33/630,624.87 = 630,624.87/x
  3. Step 3: Cross multiply
    405,654.33x = 630,624.87 × 630,624.87
  4. Step 4: Simplify right side
    405,654.33x = 397,687,723,115.25
  5. Step 5: Solve for x
    x = 397,687,723,115.25/405,654.33
  6. Step 6: Final answer
    x = 980,361.10

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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.