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Finding the Third Proportional to 249,464 and 380,423

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Solution

The third proportional to 249,464 and 380,423 is: 580,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,464 : 380,423 = 380,423 : x
  2. Step 2: Convert to fraction form
    249,464/380,423 = 380,423/x
  3. Step 3: Cross multiply
    249,464x = 380,423 × 380,423
  4. Step 4: Simplify right side
    249,464x = 144,721,658,929
  5. Step 5: Solve for x
    x = 144,721,658,929/249,464
  6. Step 6: Final answer
    x = 580,130.44

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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.