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Finding the Third Proportional to 390,359.34 and 582,289.73

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Solution

The third proportional to 390,359.34 and 582,289.73 is: 868,587.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,359.34 : 582,289.73 = 582,289.73 : x
  2. Step 2: Convert to fraction form
    390,359.34/582,289.73 = 582,289.73/x
  3. Step 3: Cross multiply
    390,359.34x = 582,289.73 × 582,289.73
  4. Step 4: Simplify right side
    390,359.34x = 339,061,334,758.51
  5. Step 5: Solve for x
    x = 339,061,334,758.51/390,359.34
  6. Step 6: Final answer
    x = 868,587.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.