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Finding the Third Proportional to 802,948 and 1,745,864

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Solution

The third proportional to 802,948 and 1,745,864 is: 3,796,062.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,948 : 1,745,864 = 1,745,864 : x
  2. Step 2: Convert to fraction form
    802,948/1,745,864 = 1,745,864/x
  3. Step 3: Cross multiply
    802,948x = 1,745,864 × 1,745,864
  4. Step 4: Simplify right side
    802,948x = 3,048,041,106,496
  5. Step 5: Solve for x
    x = 3,048,041,106,496/802,948
  6. Step 6: Final answer
    x = 3,796,062.89

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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.