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Finding the Third Proportional to 287,333 and 609,690

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Solution

The third proportional to 287,333 and 609,690 is: 1,293,697.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,333 : 609,690 = 609,690 : x
  2. Step 2: Convert to fraction form
    287,333/609,690 = 609,690/x
  3. Step 3: Cross multiply
    287,333x = 609,690 × 609,690
  4. Step 4: Simplify right side
    287,333x = 371,721,896,100
  5. Step 5: Solve for x
    x = 371,721,896,100/287,333
  6. Step 6: Final answer
    x = 1,293,697.19

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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.