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Finding the Third Proportional to 285,793.31 and 438,572.81

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Solution

The third proportional to 285,793.31 and 438,572.81 is: 673,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,793.31 : 438,572.81 = 438,572.81 : x
  2. Step 2: Convert to fraction form
    285,793.31/438,572.81 = 438,572.81/x
  3. Step 3: Cross multiply
    285,793.31x = 438,572.81 × 438,572.81
  4. Step 4: Simplify right side
    285,793.31x = 192,346,111,864.16
  5. Step 5: Solve for x
    x = 192,346,111,864.16/285,793.31
  6. Step 6: Final answer
    x = 673,025.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.