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Finding the Third Proportional to 287,875.50 and 608,967

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Solution

The third proportional to 287,875.50 and 608,967 is: 1,288,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,875.50 : 608,967 = 608,967 : x
  2. Step 2: Convert to fraction form
    287,875.50/608,967 = 608,967/x
  3. Step 3: Cross multiply
    287,875.50x = 608,967 × 608,967
  4. Step 4: Simplify right side
    287,875.50x = 370,840,807,089
  5. Step 5: Solve for x
    x = 370,840,807,089/287,875.50
  6. Step 6: Final answer
    x = 1,288,198.57

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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.