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Finding the Third Proportional to 135,905 and 294,490

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Solution

The third proportional to 135,905 and 294,490 is: 638,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,905 : 294,490 = 294,490 : x
  2. Step 2: Convert to fraction form
    135,905/294,490 = 294,490/x
  3. Step 3: Cross multiply
    135,905x = 294,490 × 294,490
  4. Step 4: Simplify right side
    135,905x = 86,724,360,100
  5. Step 5: Solve for x
    x = 86,724,360,100/135,905
  6. Step 6: Final answer
    x = 638,124.87

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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.