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Finding the Third Proportional to 287,979.75 and 639,877.50

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Solution

The third proportional to 287,979.75 and 639,877.50 is: 1,421,777.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,979.75 : 639,877.50 = 639,877.50 : x
  2. Step 2: Convert to fraction form
    287,979.75/639,877.50 = 639,877.50/x
  3. Step 3: Cross multiply
    287,979.75x = 639,877.50 × 639,877.50
  4. Step 4: Simplify right side
    287,979.75x = 409,443,215,006.25
  5. Step 5: Solve for x
    x = 409,443,215,006.25/287,979.75
  6. Step 6: Final answer
    x = 1,421,777.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.