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Finding the Third Proportional to 409,752 and 615,816

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Solution

The third proportional to 409,752 and 615,816 is: 925,509.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,752 : 615,816 = 615,816 : x
  2. Step 2: Convert to fraction form
    409,752/615,816 = 615,816/x
  3. Step 3: Cross multiply
    409,752x = 615,816 × 615,816
  4. Step 4: Simplify right side
    409,752x = 379,229,345,856
  5. Step 5: Solve for x
    x = 379,229,345,856/409,752
  6. Step 6: Final answer
    x = 925,509.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.