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Finding the Third Proportional to 249,429 and 380,371

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Solution

The third proportional to 249,429 and 380,371 is: 580,053.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,429 : 380,371 = 380,371 : x
  2. Step 2: Convert to fraction form
    249,429/380,371 = 380,371/x
  3. Step 3: Cross multiply
    249,429x = 380,371 × 380,371
  4. Step 4: Simplify right side
    249,429x = 144,682,097,641
  5. Step 5: Solve for x
    x = 144,682,097,641/249,429
  6. Step 6: Final answer
    x = 580,053.23

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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.