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Finding the Third Proportional to 5,228,488.50 and 7,920,979.50

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Solution

The third proportional to 5,228,488.50 and 7,920,979.50 is: 12,000,010.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228,488.50 : 7,920,979.50 = 7,920,979.50 : x
  2. Step 2: Convert to fraction form
    5,228,488.50/7,920,979.50 = 7,920,979.50/x
  3. Step 3: Cross multiply
    5,228,488.50x = 7,920,979.50 × 7,920,979.50
  4. Step 4: Simplify right side
    5,228,488.50x = 62,741,916,239,420.25
  5. Step 5: Solve for x
    x = 62,741,916,239,420.25/5,228,488.50
  6. Step 6: Final answer
    x = 12,000,010.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.