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Finding the Third Proportional to 287,045.75 and 617,968

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Solution

The third proportional to 287,045.75 and 617,968 is: 1,330,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,045.75 : 617,968 = 617,968 : x
  2. Step 2: Convert to fraction form
    287,045.75/617,968 = 617,968/x
  3. Step 3: Cross multiply
    287,045.75x = 617,968 × 617,968
  4. Step 4: Simplify right side
    287,045.75x = 381,884,449,024
  5. Step 5: Solve for x
    x = 381,884,449,024/287,045.75
  6. Step 6: Final answer
    x = 1,330,395.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.