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Finding the Third Proportional to 162,989.30 and 249,326.86

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Solution

The third proportional to 162,989.30 and 249,326.86 is: 381,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,989.30 : 249,326.86 = 249,326.86 : x
  2. Step 2: Convert to fraction form
    162,989.30/249,326.86 = 249,326.86/x
  3. Step 3: Cross multiply
    162,989.30x = 249,326.86 × 249,326.86
  4. Step 4: Simplify right side
    162,989.30x = 62,163,882,805.80
  5. Step 5: Solve for x
    x = 62,163,882,805.80/162,989.30
  6. Step 6: Final answer
    x = 381,398.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.