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Finding the Third Proportional to 349,213 and 553,891

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Solution

The third proportional to 349,213 and 553,891 is: 878,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,213 : 553,891 = 553,891 : x
  2. Step 2: Convert to fraction form
    349,213/553,891 = 553,891/x
  3. Step 3: Cross multiply
    349,213x = 553,891 × 553,891
  4. Step 4: Simplify right side
    349,213x = 306,795,239,881
  5. Step 5: Solve for x
    x = 306,795,239,881/349,213
  6. Step 6: Final answer
    x = 878,533.27

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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.