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Finding the Third Proportional to 257,856.75 and 387,271.13

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Solution

The third proportional to 257,856.75 and 387,271.13 is: 581,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,856.75 : 387,271.13 = 387,271.13 : x
  2. Step 2: Convert to fraction form
    257,856.75/387,271.13 = 387,271.13/x
  3. Step 3: Cross multiply
    257,856.75x = 387,271.13 × 387,271.13
  4. Step 4: Simplify right side
    257,856.75x = 149,978,924,258.77
  5. Step 5: Solve for x
    x = 149,978,924,258.77/257,856.75
  6. Step 6: Final answer
    x = 581,636.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.