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Finding the Third Proportional to 231,319 and 535,464

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Solution

The third proportional to 231,319 and 535,464 is: 1,239,507.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,319 : 535,464 = 535,464 : x
  2. Step 2: Convert to fraction form
    231,319/535,464 = 535,464/x
  3. Step 3: Cross multiply
    231,319x = 535,464 × 535,464
  4. Step 4: Simplify right side
    231,319x = 286,721,695,296
  5. Step 5: Solve for x
    x = 286,721,695,296/231,319
  6. Step 6: Final answer
    x = 1,239,507.76

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.