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Finding the Third Proportional to 353,029 and 538,780

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Solution

The third proportional to 353,029 and 538,780 is: 822,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,029 : 538,780 = 538,780 : x
  2. Step 2: Convert to fraction form
    353,029/538,780 = 538,780/x
  3. Step 3: Cross multiply
    353,029x = 538,780 × 538,780
  4. Step 4: Simplify right side
    353,029x = 290,283,888,400
  5. Step 5: Solve for x
    x = 290,283,888,400/353,029
  6. Step 6: Final answer
    x = 822,266.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.