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Finding the Third Proportional to 145,000 and 319,432

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Solution

The third proportional to 145,000 and 319,432 is: 703,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,000 : 319,432 = 319,432 : x
  2. Step 2: Convert to fraction form
    145,000/319,432 = 319,432/x
  3. Step 3: Cross multiply
    145,000x = 319,432 × 319,432
  4. Step 4: Simplify right side
    145,000x = 102,036,802,624
  5. Step 5: Solve for x
    x = 102,036,802,624/145,000
  6. Step 6: Final answer
    x = 703,702.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.