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Finding the Third Proportional to 136,200 and 291,348

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Solution

The third proportional to 136,200 and 291,348 is: 623,228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,200 : 291,348 = 291,348 : x
  2. Step 2: Convert to fraction form
    136,200/291,348 = 291,348/x
  3. Step 3: Cross multiply
    136,200x = 291,348 × 291,348
  4. Step 4: Simplify right side
    136,200x = 84,883,657,104
  5. Step 5: Solve for x
    x = 84,883,657,104/136,200
  6. Step 6: Final answer
    x = 623,228.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.