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Finding the Third Proportional to 403,788 and 887,178

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Solution

The third proportional to 403,788 and 887,178 is: 1,949,252.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,788 : 887,178 = 887,178 : x
  2. Step 2: Convert to fraction form
    403,788/887,178 = 887,178/x
  3. Step 3: Cross multiply
    403,788x = 887,178 × 887,178
  4. Step 4: Simplify right side
    403,788x = 787,084,803,684
  5. Step 5: Solve for x
    x = 787,084,803,684/403,788
  6. Step 6: Final answer
    x = 1,949,252.59

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.