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Finding the Third Proportional to 348,902 and 553,369

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Solution

The third proportional to 348,902 and 553,369 is: 877,659.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,902 : 553,369 = 553,369 : x
  2. Step 2: Convert to fraction form
    348,902/553,369 = 553,369/x
  3. Step 3: Cross multiply
    348,902x = 553,369 × 553,369
  4. Step 4: Simplify right side
    348,902x = 306,217,250,161
  5. Step 5: Solve for x
    x = 306,217,250,161/348,902
  6. Step 6: Final answer
    x = 877,659.77

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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.