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Finding the Third Proportional to 538,358 and 784,168

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Solution

The third proportional to 538,358 and 784,168 is: 1,142,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,358 : 784,168 = 784,168 : x
  2. Step 2: Convert to fraction form
    538,358/784,168 = 784,168/x
  3. Step 3: Cross multiply
    538,358x = 784,168 × 784,168
  4. Step 4: Simplify right side
    538,358x = 614,919,452,224
  5. Step 5: Solve for x
    x = 614,919,452,224/538,358
  6. Step 6: Final answer
    x = 1,142,212.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.