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Finding the Third Proportional to 155,972 and 319,319

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Solution

The third proportional to 155,972 and 319,319 is: 653,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,972 : 319,319 = 319,319 : x
  2. Step 2: Convert to fraction form
    155,972/319,319 = 319,319/x
  3. Step 3: Cross multiply
    155,972x = 319,319 × 319,319
  4. Step 4: Simplify right side
    155,972x = 101,964,623,761
  5. Step 5: Solve for x
    x = 101,964,623,761/155,972
  6. Step 6: Final answer
    x = 653,736.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.