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Finding the Third Proportional to 249,278 and 386,722

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Solution

The third proportional to 249,278 and 386,722 is: 599,948.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,278 : 386,722 = 386,722 : x
  2. Step 2: Convert to fraction form
    249,278/386,722 = 386,722/x
  3. Step 3: Cross multiply
    249,278x = 386,722 × 386,722
  4. Step 4: Simplify right side
    249,278x = 149,553,905,284
  5. Step 5: Solve for x
    x = 149,553,905,284/249,278
  6. Step 6: Final answer
    x = 599,948.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.