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Finding the Third Proportional to 7,663,213.50 and 12,771,489

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Solution

The third proportional to 7,663,213.50 and 12,771,489 is: 21,284,925.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663,213.50 : 12,771,489 = 12,771,489 : x
  2. Step 2: Convert to fraction form
    7,663,213.50/12,771,489 = 12,771,489/x
  3. Step 3: Cross multiply
    7,663,213.50x = 12,771,489 × 12,771,489
  4. Step 4: Simplify right side
    7,663,213.50x = 163,110,931,277,121
  5. Step 5: Solve for x
    x = 163,110,931,277,121/7,663,213.50
  6. Step 6: Final answer
    x = 21,284,925.87

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.