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Finding the Third Proportional to 319,765.50 and 687,918

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Solution

The third proportional to 319,765.50 and 687,918 is: 1,479,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,765.50 : 687,918 = 687,918 : x
  2. Step 2: Convert to fraction form
    319,765.50/687,918 = 687,918/x
  3. Step 3: Cross multiply
    319,765.50x = 687,918 × 687,918
  4. Step 4: Simplify right side
    319,765.50x = 473,231,174,724
  5. Step 5: Solve for x
    x = 473,231,174,724/319,765.50
  6. Step 6: Final answer
    x = 1,479,931.93

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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.