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Finding the Third Proportional to 134,931 and 214,457

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Solution

The third proportional to 134,931 and 214,457 is: 340,854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,931 : 214,457 = 214,457 : x
  2. Step 2: Convert to fraction form
    134,931/214,457 = 214,457/x
  3. Step 3: Cross multiply
    134,931x = 214,457 × 214,457
  4. Step 4: Simplify right side
    134,931x = 45,991,804,849
  5. Step 5: Solve for x
    x = 45,991,804,849/134,931
  6. Step 6: Final answer
    x = 340,854.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.