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Finding the Third Proportional to 4,319,140 and 9,449,400

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Solution

The third proportional to 4,319,140 and 9,449,400 is: 20,673,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319,140 : 9,449,400 = 9,449,400 : x
  2. Step 2: Convert to fraction form
    4,319,140/9,449,400 = 9,449,400/x
  3. Step 3: Cross multiply
    4,319,140x = 9,449,400 × 9,449,400
  4. Step 4: Simplify right side
    4,319,140x = 89,291,160,360,000
  5. Step 5: Solve for x
    x = 89,291,160,360,000/4,319,140
  6. Step 6: Final answer
    x = 20,673,365.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.