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Finding the Third Proportional to 319,980.50 and 687,447.50

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Solution

The third proportional to 319,980.50 and 687,447.50 is: 1,476,915.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,980.50 : 687,447.50 = 687,447.50 : x
  2. Step 2: Convert to fraction form
    319,980.50/687,447.50 = 687,447.50/x
  3. Step 3: Cross multiply
    319,980.50x = 687,447.50 × 687,447.50
  4. Step 4: Simplify right side
    319,980.50x = 472,584,065,256.25
  5. Step 5: Solve for x
    x = 472,584,065,256.25/319,980.50
  6. Step 6: Final answer
    x = 1,476,915.20

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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.