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Finding the Third Proportional to 401,762 and 607,827

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Solution

The third proportional to 401,762 and 607,827 is: 919,583.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,762 : 607,827 = 607,827 : x
  2. Step 2: Convert to fraction form
    401,762/607,827 = 607,827/x
  3. Step 3: Cross multiply
    401,762x = 607,827 × 607,827
  4. Step 4: Simplify right side
    401,762x = 369,453,661,929
  5. Step 5: Solve for x
    x = 369,453,661,929/401,762
  6. Step 6: Final answer
    x = 919,583.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.