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Finding the Third Proportional to 353,026 and 538,776

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Solution

The third proportional to 353,026 and 538,776 is: 822,261.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,026 : 538,776 = 538,776 : x
  2. Step 2: Convert to fraction form
    353,026/538,776 = 538,776/x
  3. Step 3: Cross multiply
    353,026x = 538,776 × 538,776
  4. Step 4: Simplify right side
    353,026x = 290,279,578,176
  5. Step 5: Solve for x
    x = 290,279,578,176/353,026
  6. Step 6: Final answer
    x = 822,261.19

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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.