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Finding the Third Proportional to 258,025.50 and 390,930.75

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Solution

The third proportional to 258,025.50 and 390,930.75 is: 592,293.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,025.50 : 390,930.75 = 390,930.75 : x
  2. Step 2: Convert to fraction form
    258,025.50/390,930.75 = 390,930.75/x
  3. Step 3: Cross multiply
    258,025.50x = 390,930.75 × 390,930.75
  4. Step 4: Simplify right side
    258,025.50x = 152,826,851,295.56
  5. Step 5: Solve for x
    x = 152,826,851,295.56/258,025.50
  6. Step 6: Final answer
    x = 592,293.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.