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Finding the Third Proportional to 802,748 and 1,100,787

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Solution

The third proportional to 802,748 and 1,100,787 is: 1,509,479.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,748 : 1,100,787 = 1,100,787 : x
  2. Step 2: Convert to fraction form
    802,748/1,100,787 = 1,100,787/x
  3. Step 3: Cross multiply
    802,748x = 1,100,787 × 1,100,787
  4. Step 4: Simplify right side
    802,748x = 1,211,732,019,369
  5. Step 5: Solve for x
    x = 1,211,732,019,369/802,748
  6. Step 6: Final answer
    x = 1,509,479.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.