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Finding the Third Proportional to 136,030 and 291,715

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Solution

The third proportional to 136,030 and 291,715 is: 625,579.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,030 : 291,715 = 291,715 : x
  2. Step 2: Convert to fraction form
    136,030/291,715 = 291,715/x
  3. Step 3: Cross multiply
    136,030x = 291,715 × 291,715
  4. Step 4: Simplify right side
    136,030x = 85,097,641,225
  5. Step 5: Solve for x
    x = 85,097,641,225/136,030
  6. Step 6: Final answer
    x = 625,579.95

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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.