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Finding the Third Proportional to 249,859.69 and 397,388.53

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Solution

The third proportional to 249,859.69 and 397,388.53 is: 632,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,859.69 : 397,388.53 = 397,388.53 : x
  2. Step 2: Convert to fraction form
    249,859.69/397,388.53 = 397,388.53/x
  3. Step 3: Cross multiply
    249,859.69x = 397,388.53 × 397,388.53
  4. Step 4: Simplify right side
    249,859.69x = 157,917,644,769.03
  5. Step 5: Solve for x
    x = 157,917,644,769.03/249,859.69
  6. Step 6: Final answer
    x = 632,025.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.