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Finding the Third Proportional to 815,021,860.50 and 1,270,960,341.75

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Solution

The third proportional to 815,021,860.50 and 1,270,960,341.75 is: 1,981,959,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,021,860.50 : 1,270,960,341.75 = 1,270,960,341.75 : x
  2. Step 2: Convert to fraction form
    815,021,860.50/1,270,960,341.75 = 1,270,960,341.75/x
  3. Step 3: Cross multiply
    815,021,860.50x = 1,270,960,341.75 × 1,270,960,341.75
  4. Step 4: Simplify right side
    815,021,860.50x = 1,615,340,190,301,276,672
  5. Step 5: Solve for x
    x = 1,615,340,190,301,276,672/815,021,860.50
  6. Step 6: Final answer
    x = 1,981,959,341.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.