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Finding the Third Proportional to 72,986,773.50 and 102,039,981

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Solution

The third proportional to 72,986,773.50 and 102,039,981 is: 142,658,145.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,986,773.50 : 102,039,981 = 102,039,981 : x
  2. Step 2: Convert to fraction form
    72,986,773.50/102,039,981 = 102,039,981/x
  3. Step 3: Cross multiply
    72,986,773.50x = 102,039,981 × 102,039,981
  4. Step 4: Simplify right side
    72,986,773.50x = 10,412,157,722,480,360
  5. Step 5: Solve for x
    x = 10,412,157,722,480,360/72,986,773.50
  6. Step 6: Final answer
    x = 142,658,145.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.