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Finding the Third Proportional to 408,701 and 607,219

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Solution

The third proportional to 408,701 and 607,219 is: 902,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,701 : 607,219 = 607,219 : x
  2. Step 2: Convert to fraction form
    408,701/607,219 = 607,219/x
  3. Step 3: Cross multiply
    408,701x = 607,219 × 607,219
  4. Step 4: Simplify right side
    408,701x = 368,714,913,961
  5. Step 5: Solve for x
    x = 368,714,913,961/408,701
  6. Step 6: Final answer
    x = 902,162.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.