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Finding the Third Proportional to 249,840 and 328,019

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Solution

The third proportional to 249,840 and 328,019 is: 430,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,840 : 328,019 = 328,019 : x
  2. Step 2: Convert to fraction form
    249,840/328,019 = 328,019/x
  3. Step 3: Cross multiply
    249,840x = 328,019 × 328,019
  4. Step 4: Simplify right side
    249,840x = 107,596,464,361
  5. Step 5: Solve for x
    x = 107,596,464,361/249,840
  6. Step 6: Final answer
    x = 430,661.48

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.