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Finding the Third Proportional to 249,516 and 405,418

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Solution

The third proportional to 249,516 and 405,418 is: 658,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,516 : 405,418 = 405,418 : x
  2. Step 2: Convert to fraction form
    249,516/405,418 = 405,418/x
  3. Step 3: Cross multiply
    249,516x = 405,418 × 405,418
  4. Step 4: Simplify right side
    249,516x = 164,363,754,724
  5. Step 5: Solve for x
    x = 164,363,754,724/249,516
  6. Step 6: Final answer
    x = 658,730.32

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.