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Finding the Third Proportional to 158,478 and 348,056

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Solution

The third proportional to 158,478 and 348,056 is: 764,415.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,478 : 348,056 = 348,056 : x
  2. Step 2: Convert to fraction form
    158,478/348,056 = 348,056/x
  3. Step 3: Cross multiply
    158,478x = 348,056 × 348,056
  4. Step 4: Simplify right side
    158,478x = 121,142,979,136
  5. Step 5: Solve for x
    x = 121,142,979,136/158,478
  6. Step 6: Final answer
    x = 764,415.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.