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Finding the Third Proportional to 348,900 and 553,366

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Solution

The third proportional to 348,900 and 553,366 is: 877,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,900 : 553,366 = 553,366 : x
  2. Step 2: Convert to fraction form
    348,900/553,366 = 553,366/x
  3. Step 3: Cross multiply
    348,900x = 553,366 × 553,366
  4. Step 4: Simplify right side
    348,900x = 306,213,929,956
  5. Step 5: Solve for x
    x = 306,213,929,956/348,900
  6. Step 6: Final answer
    x = 877,655.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.