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Finding the Third Proportional to 249,995 and 387,197

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Solution

The third proportional to 249,995 and 387,197 is: 599,698.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,995 : 387,197 = 387,197 : x
  2. Step 2: Convert to fraction form
    249,995/387,197 = 387,197/x
  3. Step 3: Cross multiply
    249,995x = 387,197 × 387,197
  4. Step 4: Simplify right side
    249,995x = 149,921,516,809
  5. Step 5: Solve for x
    x = 149,921,516,809/249,995
  6. Step 6: Final answer
    x = 599,698.06

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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.