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Finding the Third Proportional to 319,442 and 495,309

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Solution

The third proportional to 319,442 and 495,309 is: 767,998.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,442 : 495,309 = 495,309 : x
  2. Step 2: Convert to fraction form
    319,442/495,309 = 495,309/x
  3. Step 3: Cross multiply
    319,442x = 495,309 × 495,309
  4. Step 4: Simplify right side
    319,442x = 245,331,005,481
  5. Step 5: Solve for x
    x = 245,331,005,481/319,442
  6. Step 6: Final answer
    x = 767,998.59

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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.