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Finding the Third Proportional to 135,673 and 294,688

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Solution

The third proportional to 135,673 and 294,688 is: 640,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,673 : 294,688 = 294,688 : x
  2. Step 2: Convert to fraction form
    135,673/294,688 = 294,688/x
  3. Step 3: Cross multiply
    135,673x = 294,688 × 294,688
  4. Step 4: Simplify right side
    135,673x = 86,841,017,344
  5. Step 5: Solve for x
    x = 86,841,017,344/135,673
  6. Step 6: Final answer
    x = 640,075.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.