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Finding the Third Proportional to 745,722,981 and 1,121,697,877.50

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Solution

The third proportional to 745,722,981 and 1,121,697,877.50 is: 1,687,229,923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    745,722,981 : 1,121,697,877.50 = 1,121,697,877.50 : x
  2. Step 2: Convert to fraction form
    745,722,981/1,121,697,877.50 = 1,121,697,877.50/x
  3. Step 3: Cross multiply
    745,722,981x = 1,121,697,877.50 × 1,121,697,877.50
  4. Step 4: Simplify right side
    745,722,981x = 1,258,206,128,388,005,120
  5. Step 5: Solve for x
    x = 1,258,206,128,388,005,120/745,722,981
  6. Step 6: Final answer
    x = 1,687,229,923.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.