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Finding the Third Proportional to 312,265,606.50 and 685,814,839.88

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Solution

The third proportional to 312,265,606.50 and 685,814,839.88 is: 1,506,224,139.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,265,606.50 : 685,814,839.88 = 685,814,839.88 : x
  2. Step 2: Convert to fraction form
    312,265,606.50/685,814,839.88 = 685,814,839.88/x
  3. Step 3: Cross multiply
    312,265,606.50x = 685,814,839.88 × 685,814,839.88
  4. Step 4: Simplify right side
    312,265,606.50x = 470,341,994,592,771,904
  5. Step 5: Solve for x
    x = 470,341,994,592,771,904/312,265,606.50
  6. Step 6: Final answer
    x = 1,506,224,139.97

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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.