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Finding the Third Proportional to 218,472 and 334,056

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Solution

The third proportional to 218,472 and 334,056 is: 510,790.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472 : 334,056 = 334,056 : x
  2. Step 2: Convert to fraction form
    218,472/334,056 = 334,056/x
  3. Step 3: Cross multiply
    218,472x = 334,056 × 334,056
  4. Step 4: Simplify right side
    218,472x = 111,593,411,136
  5. Step 5: Solve for x
    x = 111,593,411,136/218,472
  6. Step 6: Final answer
    x = 510,790.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.