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Finding the Third Proportional to 7,887,410 and 12,698,523

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Solution

The third proportional to 7,887,410 and 12,698,523 is: 20,444,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887,410 : 12,698,523 = 12,698,523 : x
  2. Step 2: Convert to fraction form
    7,887,410/12,698,523 = 12,698,523/x
  3. Step 3: Cross multiply
    7,887,410x = 12,698,523 × 12,698,523
  4. Step 4: Simplify right side
    7,887,410x = 161,252,486,381,529
  5. Step 5: Solve for x
    x = 161,252,486,381,529/7,887,410
  6. Step 6: Final answer
    x = 20,444,288.60

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.