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Finding the Third Proportional to 257,946 and 398,583

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Solution

The third proportional to 257,946 and 398,583 is: 615,897.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,946 : 398,583 = 398,583 : x
  2. Step 2: Convert to fraction form
    257,946/398,583 = 398,583/x
  3. Step 3: Cross multiply
    257,946x = 398,583 × 398,583
  4. Step 4: Simplify right side
    257,946x = 158,868,407,889
  5. Step 5: Solve for x
    x = 158,868,407,889/257,946
  6. Step 6: Final answer
    x = 615,897.93

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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.