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Finding the Third Proportional to 214,150,867.88 and 288,939,800.53

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Solution

The third proportional to 214,150,867.88 and 288,939,800.53 is: 389,847,630.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,150,867.88 : 288,939,800.53 = 288,939,800.53 : x
  2. Step 2: Convert to fraction form
    214,150,867.88/288,939,800.53 = 288,939,800.53/x
  3. Step 3: Cross multiply
    214,150,867.88x = 288,939,800.53 × 288,939,800.53
  4. Step 4: Simplify right side
    214,150,867.88x = 83,486,208,331,038,544
  5. Step 5: Solve for x
    x = 83,486,208,331,038,544/214,150,867.88
  6. Step 6: Final answer
    x = 389,847,630.13

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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.