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Finding the Third Proportional to 288,501 and 627,798

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Solution

The third proportional to 288,501 and 627,798 is: 1,366,131.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,501 : 627,798 = 627,798 : x
  2. Step 2: Convert to fraction form
    288,501/627,798 = 627,798/x
  3. Step 3: Cross multiply
    288,501x = 627,798 × 627,798
  4. Step 4: Simplify right side
    288,501x = 394,130,328,804
  5. Step 5: Solve for x
    x = 394,130,328,804/288,501
  6. Step 6: Final answer
    x = 1,366,131.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.