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Finding the Third Proportional to 209,709 and 293,220

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Solution

The third proportional to 209,709 and 293,220 is: 409,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,709 : 293,220 = 293,220 : x
  2. Step 2: Convert to fraction form
    209,709/293,220 = 293,220/x
  3. Step 3: Cross multiply
    209,709x = 293,220 × 293,220
  4. Step 4: Simplify right side
    209,709x = 85,977,968,400
  5. Step 5: Solve for x
    x = 85,977,968,400/209,709
  6. Step 6: Final answer
    x = 409,987.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.