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Finding the Third Proportional to 342,753,057.25 and 522,160,573.75

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Solution

The third proportional to 342,753,057.25 and 522,160,573.75 is: 795,475,515.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,753,057.25 : 522,160,573.75 = 522,160,573.75 : x
  2. Step 2: Convert to fraction form
    342,753,057.25/522,160,573.75 = 522,160,573.75/x
  3. Step 3: Cross multiply
    342,753,057.25x = 522,160,573.75 × 522,160,573.75
  4. Step 4: Simplify right side
    342,753,057.25x = 272,651,664,778,929,184
  5. Step 5: Solve for x
    x = 272,651,664,778,929,184/342,753,057.25
  6. Step 6: Final answer
    x = 795,475,515.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.