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Finding the Third Proportional to 207,242 and 314,911

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Solution

The third proportional to 207,242 and 314,911 is: 478,517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,242 : 314,911 = 314,911 : x
  2. Step 2: Convert to fraction form
    207,242/314,911 = 314,911/x
  3. Step 3: Cross multiply
    207,242x = 314,911 × 314,911
  4. Step 4: Simplify right side
    207,242x = 99,168,937,921
  5. Step 5: Solve for x
    x = 99,168,937,921/207,242
  6. Step 6: Final answer
    x = 478,517.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.