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Finding the Third Proportional to 345,420,795.50 and 815,421,312

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Solution

The third proportional to 345,420,795.50 and 815,421,312 is: 1,924,933,080.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,420,795.50 : 815,421,312 = 815,421,312 : x
  2. Step 2: Convert to fraction form
    345,420,795.50/815,421,312 = 815,421,312/x
  3. Step 3: Cross multiply
    345,420,795.50x = 815,421,312 × 815,421,312
  4. Step 4: Simplify right side
    345,420,795.50x = 664,911,916,063,801,344
  5. Step 5: Solve for x
    x = 664,911,916,063,801,344/345,420,795.50
  6. Step 6: Final answer
    x = 1,924,933,080.83

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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.