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Finding the Third Proportional to 142,426 and 203,534

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Solution

The third proportional to 142,426 and 203,534 is: 290,860.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,426 : 203,534 = 203,534 : x
  2. Step 2: Convert to fraction form
    142,426/203,534 = 203,534/x
  3. Step 3: Cross multiply
    142,426x = 203,534 × 203,534
  4. Step 4: Simplify right side
    142,426x = 41,426,089,156
  5. Step 5: Solve for x
    x = 41,426,089,156/142,426
  6. Step 6: Final answer
    x = 290,860.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.