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Finding the Third Proportional to 6,391,467 and 8,638,096.50

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Solution

The third proportional to 6,391,467 and 8,638,096.50 is: 11,674,426.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391,467 : 8,638,096.50 = 8,638,096.50 : x
  2. Step 2: Convert to fraction form
    6,391,467/8,638,096.50 = 8,638,096.50/x
  3. Step 3: Cross multiply
    6,391,467x = 8,638,096.50 × 8,638,096.50
  4. Step 4: Simplify right side
    6,391,467x = 74,616,711,143,312.25
  5. Step 5: Solve for x
    x = 74,616,711,143,312.25/6,391,467
  6. Step 6: Final answer
    x = 11,674,426.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.