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Finding the Third Proportional to 257,416 and 389,449.50

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Solution

The third proportional to 257,416 and 389,449.50 is: 589,205.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416 : 389,449.50 = 389,449.50 : x
  2. Step 2: Convert to fraction form
    257,416/389,449.50 = 389,449.50/x
  3. Step 3: Cross multiply
    257,416x = 389,449.50 × 389,449.50
  4. Step 4: Simplify right side
    257,416x = 151,670,913,050.25
  5. Step 5: Solve for x
    x = 151,670,913,050.25/257,416
  6. Step 6: Final answer
    x = 589,205.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.