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Finding the Third Proportional to 128,203,210 and 302,336,089

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Solution

The third proportional to 128,203,210 and 302,336,089 is: 712,986,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,203,210 : 302,336,089 = 302,336,089 : x
  2. Step 2: Convert to fraction form
    128,203,210/302,336,089 = 302,336,089/x
  3. Step 3: Cross multiply
    128,203,210x = 302,336,089 × 302,336,089
  4. Step 4: Simplify right side
    128,203,210x = 91,407,110,711,815,920
  5. Step 5: Solve for x
    x = 91,407,110,711,815,920/128,203,210
  6. Step 6: Final answer
    x = 712,986,131.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.