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Finding the Third Proportional to 61,985 and 135,490

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Solution

The third proportional to 61,985 and 135,490 is: 296,161.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,985 : 135,490 = 135,490 : x
  2. Step 2: Convert to fraction form
    61,985/135,490 = 135,490/x
  3. Step 3: Cross multiply
    61,985x = 135,490 × 135,490
  4. Step 4: Simplify right side
    61,985x = 18,357,540,100
  5. Step 5: Solve for x
    x = 18,357,540,100/61,985
  6. Step 6: Final answer
    x = 296,161.01

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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.