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Finding the Third Proportional to 214,150,870 and 288,939,803

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Solution

The third proportional to 214,150,870 and 288,939,803 is: 389,847,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,870 : 288,939,803 = 288,939,803 : x
  2. Step 2: Convert to fraction form
    214,150,870/288,939,803 = 288,939,803/x
  3. Step 3: Cross multiply
    214,150,870x = 288,939,803 × 288,939,803
  4. Step 4: Simplify right side
    214,150,870x = 83,486,209,757,678,816
  5. Step 5: Solve for x
    x = 83,486,209,757,678,816/214,150,870
  6. Step 6: Final answer
    x = 389,847,632.92

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.