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Finding the Third Proportional to 134,120 and 291,307

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Solution

The third proportional to 134,120 and 291,307 is: 632,715.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,120 : 291,307 = 291,307 : x
  2. Step 2: Convert to fraction form
    134,120/291,307 = 291,307/x
  3. Step 3: Cross multiply
    134,120x = 291,307 × 291,307
  4. Step 4: Simplify right side
    134,120x = 84,859,768,249
  5. Step 5: Solve for x
    x = 84,859,768,249/134,120
  6. Step 6: Final answer
    x = 632,715.24

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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.