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Finding the Third Proportional to 65,610 and 137,457

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Solution

The third proportional to 65,610 and 137,457 is: 287,980.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,610 : 137,457 = 137,457 : x
  2. Step 2: Convert to fraction form
    65,610/137,457 = 137,457/x
  3. Step 3: Cross multiply
    65,610x = 137,457 × 137,457
  4. Step 4: Simplify right side
    65,610x = 18,894,426,849
  5. Step 5: Solve for x
    x = 18,894,426,849/65,610
  6. Step 6: Final answer
    x = 287,980.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.