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Finding the Third Proportional to 786,981 and 1,189,831.50

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Solution

The third proportional to 786,981 and 1,189,831.50 is: 1,798,898.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,981 : 1,189,831.50 = 1,189,831.50 : x
  2. Step 2: Convert to fraction form
    786,981/1,189,831.50 = 1,189,831.50/x
  3. Step 3: Cross multiply
    786,981x = 1,189,831.50 × 1,189,831.50
  4. Step 4: Simplify right side
    786,981x = 1,415,698,998,392.25
  5. Step 5: Solve for x
    x = 1,415,698,998,392.25/786,981
  6. Step 6: Final answer
    x = 1,798,898.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.