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Finding the Third Proportional to 257,959 and 398,602.50

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Solution

The third proportional to 257,959 and 398,602.50 is: 615,927.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,959 : 398,602.50 = 398,602.50 : x
  2. Step 2: Convert to fraction form
    257,959/398,602.50 = 398,602.50/x
  3. Step 3: Cross multiply
    257,959x = 398,602.50 × 398,602.50
  4. Step 4: Simplify right side
    257,959x = 158,883,953,006.25
  5. Step 5: Solve for x
    x = 158,883,953,006.25/257,959
  6. Step 6: Final answer
    x = 615,927.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.