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Finding the Third Proportional to 287,430 and 604,626

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Solution

The third proportional to 287,430 and 604,626 is: 1,271,866.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,430 : 604,626 = 604,626 : x
  2. Step 2: Convert to fraction form
    287,430/604,626 = 604,626/x
  3. Step 3: Cross multiply
    287,430x = 604,626 × 604,626
  4. Step 4: Simplify right side
    287,430x = 365,572,599,876
  5. Step 5: Solve for x
    x = 365,572,599,876/287,430
  6. Step 6: Final answer
    x = 1,271,866.54

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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.