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Finding the Third Proportional to 158,139 and 340,457

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Solution

The third proportional to 158,139 and 340,457 is: 732,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,139 : 340,457 = 340,457 : x
  2. Step 2: Convert to fraction form
    158,139/340,457 = 340,457/x
  3. Step 3: Cross multiply
    158,139x = 340,457 × 340,457
  4. Step 4: Simplify right side
    158,139x = 115,910,968,849
  5. Step 5: Solve for x
    x = 115,910,968,849/158,139
  6. Step 6: Final answer
    x = 732,968.90

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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.