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Finding the Third Proportional to 136,258 and 293,339

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Solution

The third proportional to 136,258 and 293,339 is: 631,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,258 : 293,339 = 293,339 : x
  2. Step 2: Convert to fraction form
    136,258/293,339 = 293,339/x
  3. Step 3: Cross multiply
    136,258x = 293,339 × 293,339
  4. Step 4: Simplify right side
    136,258x = 86,047,768,921
  5. Step 5: Solve for x
    x = 86,047,768,921/136,258
  6. Step 6: Final answer
    x = 631,506.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.