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Finding the Third Proportional to 6,478,394.50 and 13,899,386

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Solution

The third proportional to 6,478,394.50 and 13,899,386 is: 29,821,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,394.50 : 13,899,386 = 13,899,386 : x
  2. Step 2: Convert to fraction form
    6,478,394.50/13,899,386 = 13,899,386/x
  3. Step 3: Cross multiply
    6,478,394.50x = 13,899,386 × 13,899,386
  4. Step 4: Simplify right side
    6,478,394.50x = 193,192,931,176,996
  5. Step 5: Solve for x
    x = 193,192,931,176,996/6,478,394.50
  6. Step 6: Final answer
    x = 29,821,112.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.