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Finding the Third Proportional to 312,284,567.75 and 685,863,727.75

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Solution

The third proportional to 312,284,567.75 and 685,863,727.75 is: 1,506,347,420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,284,567.75 : 685,863,727.75 = 685,863,727.75 : x
  2. Step 2: Convert to fraction form
    312,284,567.75/685,863,727.75 = 685,863,727.75/x
  3. Step 3: Cross multiply
    312,284,567.75x = 685,863,727.75 × 685,863,727.75
  4. Step 4: Simplify right side
    312,284,567.75x = 470,409,053,043,126,144
  5. Step 5: Solve for x
    x = 470,409,053,043,126,144/312,284,567.75
  6. Step 6: Final answer
    x = 1,506,347,420.34

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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.