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Finding the Third Proportional to 225,700 and 342,984

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Solution

The third proportional to 225,700 and 342,984 is: 521,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,700 : 342,984 = 342,984 : x
  2. Step 2: Convert to fraction form
    225,700/342,984 = 342,984/x
  3. Step 3: Cross multiply
    225,700x = 342,984 × 342,984
  4. Step 4: Simplify right side
    225,700x = 117,638,024,256
  5. Step 5: Solve for x
    x = 117,638,024,256/225,700
  6. Step 6: Final answer
    x = 521,214.11

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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.