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Finding the Third Proportional to 249,462 and 380,420

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Solution

The third proportional to 249,462 and 380,420 is: 580,125.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,462 : 380,420 = 380,420 : x
  2. Step 2: Convert to fraction form
    249,462/380,420 = 380,420/x
  3. Step 3: Cross multiply
    249,462x = 380,420 × 380,420
  4. Step 4: Simplify right side
    249,462x = 144,719,376,400
  5. Step 5: Solve for x
    x = 144,719,376,400/249,462
  6. Step 6: Final answer
    x = 580,125.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.