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Finding the Third Proportional to 398,911 and 864,280

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Solution

The third proportional to 398,911 and 864,280 is: 1,872,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,911 : 864,280 = 864,280 : x
  2. Step 2: Convert to fraction form
    398,911/864,280 = 864,280/x
  3. Step 3: Cross multiply
    398,911x = 864,280 × 864,280
  4. Step 4: Simplify right side
    398,911x = 746,979,918,400
  5. Step 5: Solve for x
    x = 746,979,918,400/398,911
  6. Step 6: Final answer
    x = 1,872,547.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.