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Finding the Third Proportional to 287,568 and 604,881

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Solution

The third proportional to 287,568 and 604,881 is: 1,272,328.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,568 : 604,881 = 604,881 : x
  2. Step 2: Convert to fraction form
    287,568/604,881 = 604,881/x
  3. Step 3: Cross multiply
    287,568x = 604,881 × 604,881
  4. Step 4: Simplify right side
    287,568x = 365,881,024,161
  5. Step 5: Solve for x
    x = 365,881,024,161/287,568
  6. Step 6: Final answer
    x = 1,272,328.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.