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Finding the Third Proportional to 340,209 and 732,420

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Solution

The third proportional to 340,209 and 732,420 is: 1,576,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,209 : 732,420 = 732,420 : x
  2. Step 2: Convert to fraction form
    340,209/732,420 = 732,420/x
  3. Step 3: Cross multiply
    340,209x = 732,420 × 732,420
  4. Step 4: Simplify right side
    340,209x = 536,439,056,400
  5. Step 5: Solve for x
    x = 536,439,056,400/340,209
  6. Step 6: Final answer
    x = 1,576,792.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.