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Finding the Third Proportional to 287,088 and 618,050

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Solution

The third proportional to 287,088 and 618,050 is: 1,330,553.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,088 : 618,050 = 618,050 : x
  2. Step 2: Convert to fraction form
    287,088/618,050 = 618,050/x
  3. Step 3: Cross multiply
    287,088x = 618,050 × 618,050
  4. Step 4: Simplify right side
    287,088x = 381,985,802,500
  5. Step 5: Solve for x
    x = 381,985,802,500/287,088
  6. Step 6: Final answer
    x = 1,330,553.01

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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.