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Finding the Third Proportional to 312,424.50 and 686,287.50

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Solution

The third proportional to 312,424.50 and 686,287.50 is: 1,507,533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,424.50 : 686,287.50 = 686,287.50 : x
  2. Step 2: Convert to fraction form
    312,424.50/686,287.50 = 686,287.50/x
  3. Step 3: Cross multiply
    312,424.50x = 686,287.50 × 686,287.50
  4. Step 4: Simplify right side
    312,424.50x = 470,990,532,656.25
  5. Step 5: Solve for x
    x = 470,990,532,656.25/312,424.50
  6. Step 6: Final answer
    x = 1,507,533.92

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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.