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Finding the Third Proportional to 249,750 and 397,230

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Solution

The third proportional to 249,750 and 397,230 is: 631,798.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,750 : 397,230 = 397,230 : x
  2. Step 2: Convert to fraction form
    249,750/397,230 = 397,230/x
  3. Step 3: Cross multiply
    249,750x = 397,230 × 397,230
  4. Step 4: Simplify right side
    249,750x = 157,791,672,900
  5. Step 5: Solve for x
    x = 157,791,672,900/249,750
  6. Step 6: Final answer
    x = 631,798.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.