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Finding the Third Proportional to 292,976.25 and 642,039

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Solution

The third proportional to 292,976.25 and 642,039 is: 1,406,988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,976.25 : 642,039 = 642,039 : x
  2. Step 2: Convert to fraction form
    292,976.25/642,039 = 642,039/x
  3. Step 3: Cross multiply
    292,976.25x = 642,039 × 642,039
  4. Step 4: Simplify right side
    292,976.25x = 412,214,077,521
  5. Step 5: Solve for x
    x = 412,214,077,521/292,976.25
  6. Step 6: Final answer
    x = 1,406,988.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.