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Finding the Third Proportional to 12,377,311 and 18,921,718.50

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Solution

The third proportional to 12,377,311 and 18,921,718.50 is: 28,926,430.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,377,311 : 18,921,718.50 = 18,921,718.50 : x
  2. Step 2: Convert to fraction form
    12,377,311/18,921,718.50 = 18,921,718.50/x
  3. Step 3: Cross multiply
    12,377,311x = 18,921,718.50 × 18,921,718.50
  4. Step 4: Simplify right side
    12,377,311x = 358,031,430,993,242.25
  5. Step 5: Solve for x
    x = 358,031,430,993,242.25/12,377,311
  6. Step 6: Final answer
    x = 28,926,430.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.