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Finding the Third Proportional to 9,920,509.50 and 21,258,190.50

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Solution

The third proportional to 9,920,509.50 and 21,258,190.50 is: 45,553,170.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920,509.50 : 21,258,190.50 = 21,258,190.50 : x
  2. Step 2: Convert to fraction form
    9,920,509.50/21,258,190.50 = 21,258,190.50/x
  3. Step 3: Cross multiply
    9,920,509.50x = 21,258,190.50 × 21,258,190.50
  4. Step 4: Simplify right side
    9,920,509.50x = 451,910,663,334,290.25
  5. Step 5: Solve for x
    x = 451,910,663,334,290.25/9,920,509.50
  6. Step 6: Final answer
    x = 45,553,170.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.