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Finding the Third Proportional to 223,680 and 349,056

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Solution

The third proportional to 223,680 and 349,056 is: 544,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,680 : 349,056 = 349,056 : x
  2. Step 2: Convert to fraction form
    223,680/349,056 = 349,056/x
  3. Step 3: Cross multiply
    223,680x = 349,056 × 349,056
  4. Step 4: Simplify right side
    223,680x = 121,840,091,136
  5. Step 5: Solve for x
    x = 121,840,091,136/223,680
  6. Step 6: Final answer
    x = 544,707.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.