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Finding the Third Proportional to 161,278.88 and 249,306.75

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Solution

The third proportional to 161,278.88 and 249,306.75 is: 385,381.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,278.88 : 249,306.75 = 249,306.75 : x
  2. Step 2: Convert to fraction form
    161,278.88/249,306.75 = 249,306.75/x
  3. Step 3: Cross multiply
    161,278.88x = 249,306.75 × 249,306.75
  4. Step 4: Simplify right side
    161,278.88x = 62,153,855,595.56
  5. Step 5: Solve for x
    x = 62,153,855,595.56/161,278.88
  6. Step 6: Final answer
    x = 385,381.26

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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.