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Finding the Third Proportional to 3,045,646.50 and 6,772,104.75

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Solution

The third proportional to 3,045,646.50 and 6,772,104.75 is: 15,058,018.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045,646.50 : 6,772,104.75 = 6,772,104.75 : x
  2. Step 2: Convert to fraction form
    3,045,646.50/6,772,104.75 = 6,772,104.75/x
  3. Step 3: Cross multiply
    3,045,646.50x = 6,772,104.75 × 6,772,104.75
  4. Step 4: Simplify right side
    3,045,646.50x = 45,861,402,744,972.56
  5. Step 5: Solve for x
    x = 45,861,402,744,972.56/3,045,646.50
  6. Step 6: Final answer
    x = 15,058,018.96

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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.