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Finding the Third Proportional to 530,822,134.50 and 796,233,276

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Solution

The third proportional to 530,822,134.50 and 796,233,276 is: 1,194,350,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,822,134.50 : 796,233,276 = 796,233,276 : x
  2. Step 2: Convert to fraction form
    530,822,134.50/796,233,276 = 796,233,276/x
  3. Step 3: Cross multiply
    530,822,134.50x = 796,233,276 × 796,233,276
  4. Step 4: Simplify right side
    530,822,134.50x = 633,987,429,809,692,160
  5. Step 5: Solve for x
    x = 633,987,429,809,692,160/530,822,134.50
  6. Step 6: Final answer
    x = 1,194,350,025.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.