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Finding the Third Proportional to 370,002 and 812,740

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Solution

The third proportional to 370,002 and 812,740 is: 1,785,250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,002 : 812,740 = 812,740 : x
  2. Step 2: Convert to fraction form
    370,002/812,740 = 812,740/x
  3. Step 3: Cross multiply
    370,002x = 812,740 × 812,740
  4. Step 4: Simplify right side
    370,002x = 660,546,307,600
  5. Step 5: Solve for x
    x = 660,546,307,600/370,002
  6. Step 6: Final answer
    x = 1,785,250.64

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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.