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Finding the Third Proportional to 312,316,722 and 685,915,188.75

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Solution

The third proportional to 312,316,722 and 685,915,188.75 is: 1,506,418,366.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,316,722 : 685,915,188.75 = 685,915,188.75 : x
  2. Step 2: Convert to fraction form
    312,316,722/685,915,188.75 = 685,915,188.75/x
  3. Step 3: Cross multiply
    312,316,722x = 685,915,188.75 × 685,915,188.75
  4. Step 4: Simplify right side
    312,316,722x = 470,479,646,157,948,096
  5. Step 5: Solve for x
    x = 470,479,646,157,948,096/312,316,722
  6. Step 6: Final answer
    x = 1,506,418,366.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.