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Finding the Third Proportional to 398,547 and 862,215

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Solution

The third proportional to 398,547 and 862,215 is: 1,865,312.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,547 : 862,215 = 862,215 : x
  2. Step 2: Convert to fraction form
    398,547/862,215 = 862,215/x
  3. Step 3: Cross multiply
    398,547x = 862,215 × 862,215
  4. Step 4: Simplify right side
    398,547x = 743,414,706,225
  5. Step 5: Solve for x
    x = 743,414,706,225/398,547
  6. Step 6: Final answer
    x = 1,865,312.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.