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Finding the Third Proportional to 319,799 and 688,000

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Solution

The third proportional to 319,799 and 688,000 is: 1,480,129.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,799 : 688,000 = 688,000 : x
  2. Step 2: Convert to fraction form
    319,799/688,000 = 688,000/x
  3. Step 3: Cross multiply
    319,799x = 688,000 × 688,000
  4. Step 4: Simplify right side
    319,799x = 473,344,000,000
  5. Step 5: Solve for x
    x = 473,344,000,000/319,799
  6. Step 6: Final answer
    x = 1,480,129.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.