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Finding the Third Proportional to 287,515 and 417,883

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Solution

The third proportional to 287,515 and 417,883 is: 607,363.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,515 : 417,883 = 417,883 : x
  2. Step 2: Convert to fraction form
    287,515/417,883 = 417,883/x
  3. Step 3: Cross multiply
    287,515x = 417,883 × 417,883
  4. Step 4: Simplify right side
    287,515x = 174,626,201,689
  5. Step 5: Solve for x
    x = 174,626,201,689/287,515
  6. Step 6: Final answer
    x = 607,363.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.