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Finding the Third Proportional to 3,977,808.75 and 8,589,470.63

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Solution

The third proportional to 3,977,808.75 and 8,589,470.63 is: 18,547,650.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977,808.75 : 8,589,470.63 = 8,589,470.63 : x
  2. Step 2: Convert to fraction form
    3,977,808.75/8,589,470.63 = 8,589,470.63/x
  3. Step 3: Cross multiply
    3,977,808.75x = 8,589,470.63 × 8,589,470.63
  4. Step 4: Simplify right side
    3,977,808.75x = 73,779,005,617,737.89
  5. Step 5: Solve for x
    x = 73,779,005,617,737.89/3,977,808.75
  6. Step 6: Final answer
    x = 18,547,650.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.