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Finding the Third Proportional to 257,964.50 and 371,565.50

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Solution

The third proportional to 257,964.50 and 371,565.50 is: 535,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,964.50 : 371,565.50 = 371,565.50 : x
  2. Step 2: Convert to fraction form
    257,964.50/371,565.50 = 371,565.50/x
  3. Step 3: Cross multiply
    257,964.50x = 371,565.50 × 371,565.50
  4. Step 4: Simplify right side
    257,964.50x = 138,060,920,790.25
  5. Step 5: Solve for x
    x = 138,060,920,790.25/257,964.50
  6. Step 6: Final answer
    x = 535,193.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.