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Finding the Third Proportional to 287,883 and 608,985

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Solution

The third proportional to 287,883 and 608,985 is: 1,288,241.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,883 : 608,985 = 608,985 : x
  2. Step 2: Convert to fraction form
    287,883/608,985 = 608,985/x
  3. Step 3: Cross multiply
    287,883x = 608,985 × 608,985
  4. Step 4: Simplify right side
    287,883x = 370,862,730,225
  5. Step 5: Solve for x
    x = 370,862,730,225/287,883
  6. Step 6: Final answer
    x = 1,288,241.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.