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Finding the Third Proportional to 308,077,590.50 and 685,036,932.75

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Solution

The third proportional to 308,077,590.50 and 685,036,932.75 is: 1,523,238,345.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,077,590.50 : 685,036,932.75 = 685,036,932.75 : x
  2. Step 2: Convert to fraction form
    308,077,590.50/685,036,932.75 = 685,036,932.75/x
  3. Step 3: Cross multiply
    308,077,590.50x = 685,036,932.75 × 685,036,932.75
  4. Step 4: Simplify right side
    308,077,590.50x = 469,275,599,231,528,000
  5. Step 5: Solve for x
    x = 469,275,599,231,528,000/308,077,590.50
  6. Step 6: Final answer
    x = 1,523,238,345.48

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.