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Finding the Third Proportional to 153,585 and 319,431

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Solution

The third proportional to 153,585 and 319,431 is: 664,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585 : 319,431 = 319,431 : x
  2. Step 2: Convert to fraction form
    153,585/319,431 = 319,431/x
  3. Step 3: Cross multiply
    153,585x = 319,431 × 319,431
  4. Step 4: Simplify right side
    153,585x = 102,036,163,761
  5. Step 5: Solve for x
    x = 102,036,163,761/153,585
  6. Step 6: Final answer
    x = 664,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.