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Finding the Third Proportional to 149,630 and 249,357

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Solution

The third proportional to 149,630 and 249,357 is: 415,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,630 : 249,357 = 249,357 : x
  2. Step 2: Convert to fraction form
    149,630/249,357 = 249,357/x
  3. Step 3: Cross multiply
    149,630x = 249,357 × 249,357
  4. Step 4: Simplify right side
    149,630x = 62,178,913,449
  5. Step 5: Solve for x
    x = 62,178,913,449/149,630
  6. Step 6: Final answer
    x = 415,551.12

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.