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Finding the Third Proportional to 77,985 and 116,457

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Solution

The third proportional to 77,985 and 116,457 is: 173,908.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,985 : 116,457 = 116,457 : x
  2. Step 2: Convert to fraction form
    77,985/116,457 = 116,457/x
  3. Step 3: Cross multiply
    77,985x = 116,457 × 116,457
  4. Step 4: Simplify right side
    77,985x = 13,562,232,849
  5. Step 5: Solve for x
    x = 13,562,232,849/77,985
  6. Step 6: Final answer
    x = 173,908.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.