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Finding the Third Proportional to 257,232 and 553,971

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Solution

The third proportional to 257,232 and 553,971 is: 1,193,023.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,232 : 553,971 = 553,971 : x
  2. Step 2: Convert to fraction form
    257,232/553,971 = 553,971/x
  3. Step 3: Cross multiply
    257,232x = 553,971 × 553,971
  4. Step 4: Simplify right side
    257,232x = 306,883,868,841
  5. Step 5: Solve for x
    x = 306,883,868,841/257,232
  6. Step 6: Final answer
    x = 1,193,023.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.