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Finding the Third Proportional to 257,922 and 398,547

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Solution

The third proportional to 257,922 and 398,547 is: 615,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,922 : 398,547 = 398,547 : x
  2. Step 2: Convert to fraction form
    257,922/398,547 = 398,547/x
  3. Step 3: Cross multiply
    257,922x = 398,547 × 398,547
  4. Step 4: Simplify right side
    257,922x = 158,839,711,209
  5. Step 5: Solve for x
    x = 158,839,711,209/257,922
  6. Step 6: Final answer
    x = 615,843.98

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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.