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Finding the Third Proportional to 401,730 and 873,364

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Solution

The third proportional to 401,730 and 873,364 is: 1,898,699.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,730 : 873,364 = 873,364 : x
  2. Step 2: Convert to fraction form
    401,730/873,364 = 873,364/x
  3. Step 3: Cross multiply
    401,730x = 873,364 × 873,364
  4. Step 4: Simplify right side
    401,730x = 762,764,676,496
  5. Step 5: Solve for x
    x = 762,764,676,496/401,730
  6. Step 6: Final answer
    x = 1,898,699.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.