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Finding the Third Proportional to 162,426 and 249,981

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Solution

The third proportional to 162,426 and 249,981 is: 384,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,426 : 249,981 = 249,981 : x
  2. Step 2: Convert to fraction form
    162,426/249,981 = 249,981/x
  3. Step 3: Cross multiply
    162,426x = 249,981 × 249,981
  4. Step 4: Simplify right side
    162,426x = 62,490,500,361
  5. Step 5: Solve for x
    x = 62,490,500,361/162,426
  6. Step 6: Final answer
    x = 384,732.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.