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Finding the Third Proportional to 249,280 and 349,782

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Solution

The third proportional to 249,280 and 349,782 is: 490,803.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,280 : 349,782 = 349,782 : x
  2. Step 2: Convert to fraction form
    249,280/349,782 = 349,782/x
  3. Step 3: Cross multiply
    249,280x = 349,782 × 349,782
  4. Step 4: Simplify right side
    249,280x = 122,347,447,524
  5. Step 5: Solve for x
    x = 122,347,447,524/249,280
  6. Step 6: Final answer
    x = 490,803.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.