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Finding the Third Proportional to 135,985 and 293,840

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Solution

The third proportional to 135,985 and 293,840 is: 634,937.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,985 : 293,840 = 293,840 : x
  2. Step 2: Convert to fraction form
    135,985/293,840 = 293,840/x
  3. Step 3: Cross multiply
    135,985x = 293,840 × 293,840
  4. Step 4: Simplify right side
    135,985x = 86,341,945,600
  5. Step 5: Solve for x
    x = 86,341,945,600/135,985
  6. Step 6: Final answer
    x = 634,937.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.