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Finding the Third Proportional to 249,405 and 382,491

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Solution

The third proportional to 249,405 and 382,491 is: 586,593.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,405 : 382,491 = 382,491 : x
  2. Step 2: Convert to fraction form
    249,405/382,491 = 382,491/x
  3. Step 3: Cross multiply
    249,405x = 382,491 × 382,491
  4. Step 4: Simplify right side
    249,405x = 146,299,365,081
  5. Step 5: Solve for x
    x = 146,299,365,081/249,405
  6. Step 6: Final answer
    x = 586,593.55

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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.