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Finding the Third Proportional to 170,820 and 249,645

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Solution

The third proportional to 170,820 and 249,645 is: 364,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,820 : 249,645 = 249,645 : x
  2. Step 2: Convert to fraction form
    170,820/249,645 = 249,645/x
  3. Step 3: Cross multiply
    170,820x = 249,645 × 249,645
  4. Step 4: Simplify right side
    170,820x = 62,322,626,025
  5. Step 5: Solve for x
    x = 62,322,626,025/170,820
  6. Step 6: Final answer
    x = 364,843.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.