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Finding the Third Proportional to 155,977 and 319,342

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Solution

The third proportional to 155,977 and 319,342 is: 653,809.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,977 : 319,342 = 319,342 : x
  2. Step 2: Convert to fraction form
    155,977/319,342 = 319,342/x
  3. Step 3: Cross multiply
    155,977x = 319,342 × 319,342
  4. Step 4: Simplify right side
    155,977x = 101,979,312,964
  5. Step 5: Solve for x
    x = 101,979,312,964/155,977
  6. Step 6: Final answer
    x = 653,809.94

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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.