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Finding the Third Proportional to 257,597 and 378,946

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Solution

The third proportional to 257,597 and 378,946 is: 557,460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,597 : 378,946 = 378,946 : x
  2. Step 2: Convert to fraction form
    257,597/378,946 = 378,946/x
  3. Step 3: Cross multiply
    257,597x = 378,946 × 378,946
  4. Step 4: Simplify right side
    257,597x = 143,600,070,916
  5. Step 5: Solve for x
    x = 143,600,070,916/257,597
  6. Step 6: Final answer
    x = 557,460.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.