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Finding the Third Proportional to 136,448 and 289,056

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Solution

The third proportional to 136,448 and 289,056 is: 612,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,448 : 289,056 = 289,056 : x
  2. Step 2: Convert to fraction form
    136,448/289,056 = 289,056/x
  3. Step 3: Cross multiply
    136,448x = 289,056 × 289,056
  4. Step 4: Simplify right side
    136,448x = 83,553,371,136
  5. Step 5: Solve for x
    x = 83,553,371,136/136,448
  6. Step 6: Final answer
    x = 612,345.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.