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Finding the Third Proportional to 348,904 and 553,380

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Solution

The third proportional to 348,904 and 553,380 is: 877,689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,904 : 553,380 = 553,380 : x
  2. Step 2: Convert to fraction form
    348,904/553,380 = 553,380/x
  3. Step 3: Cross multiply
    348,904x = 553,380 × 553,380
  4. Step 4: Simplify right side
    348,904x = 306,229,424,400
  5. Step 5: Solve for x
    x = 306,229,424,400/348,904
  6. Step 6: Final answer
    x = 877,689.63

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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.