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Finding the Third Proportional to 258,368 and 556,320

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Solution

The third proportional to 258,368 and 556,320 is: 1,197,872.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,368 : 556,320 = 556,320 : x
  2. Step 2: Convert to fraction form
    258,368/556,320 = 556,320/x
  3. Step 3: Cross multiply
    258,368x = 556,320 × 556,320
  4. Step 4: Simplify right side
    258,368x = 309,491,942,400
  5. Step 5: Solve for x
    x = 309,491,942,400/258,368
  6. Step 6: Final answer
    x = 1,197,872.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.