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Finding the Third Proportional to 502,731 and 1,094,118

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Solution

The third proportional to 502,731 and 1,094,118 is: 2,381,182.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,731 : 1,094,118 = 1,094,118 : x
  2. Step 2: Convert to fraction form
    502,731/1,094,118 = 1,094,118/x
  3. Step 3: Cross multiply
    502,731x = 1,094,118 × 1,094,118
  4. Step 4: Simplify right side
    502,731x = 1,197,094,197,924
  5. Step 5: Solve for x
    x = 1,197,094,197,924/502,731
  6. Step 6: Final answer
    x = 2,381,182.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.