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Finding the Third Proportional to 177,600 and 249,831

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Solution

The third proportional to 177,600 and 249,831 is: 351,438.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,600 : 249,831 = 249,831 : x
  2. Step 2: Convert to fraction form
    177,600/249,831 = 249,831/x
  3. Step 3: Cross multiply
    177,600x = 249,831 × 249,831
  4. Step 4: Simplify right side
    177,600x = 62,415,528,561
  5. Step 5: Solve for x
    x = 62,415,528,561/177,600
  6. Step 6: Final answer
    x = 351,438.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.