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Finding the Third Proportional to 3,638,160 and 7,921,766.25

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Solution

The third proportional to 3,638,160 and 7,921,766.25 is: 17,248,933.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,160 : 7,921,766.25 = 7,921,766.25 : x
  2. Step 2: Convert to fraction form
    3,638,160/7,921,766.25 = 7,921,766.25/x
  3. Step 3: Cross multiply
    3,638,160x = 7,921,766.25 × 7,921,766.25
  4. Step 4: Simplify right side
    3,638,160x = 62,754,380,519,639.06
  5. Step 5: Solve for x
    x = 62,754,380,519,639.06/3,638,160
  6. Step 6: Final answer
    x = 17,248,933.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.