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Finding the Third Proportional to 3,197,779.31 and 4,920,178.78

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Solution

The third proportional to 3,197,779.31 and 4,920,178.78 is: 7,570,303.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197,779.31 : 4,920,178.78 = 4,920,178.78 : x
  2. Step 2: Convert to fraction form
    3,197,779.31/4,920,178.78 = 4,920,178.78/x
  3. Step 3: Cross multiply
    3,197,779.31x = 4,920,178.78 × 4,920,178.78
  4. Step 4: Simplify right side
    3,197,779.31x = 24,208,159,239,462.73
  5. Step 5: Solve for x
    x = 24,208,159,239,462.73/3,197,779.31
  6. Step 6: Final answer
    x = 7,570,303.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.