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Finding the Third Proportional to 12,979,710 and 20,177,545.50

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Solution

The third proportional to 12,979,710 and 20,177,545.50 is: 31,366,905.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,979,710 : 20,177,545.50 = 20,177,545.50 : x
  2. Step 2: Convert to fraction form
    12,979,710/20,177,545.50 = 20,177,545.50/x
  3. Step 3: Cross multiply
    12,979,710x = 20,177,545.50 × 20,177,545.50
  4. Step 4: Simplify right side
    12,979,710x = 407,133,342,404,570.25
  5. Step 5: Solve for x
    x = 407,133,342,404,570.25/12,979,710
  6. Step 6: Final answer
    x = 31,366,905.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.