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Finding the Third Proportional to 77,475 and 119,715

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Solution

The third proportional to 77,475 and 119,715 is: 184,984.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,475 : 119,715 = 119,715 : x
  2. Step 2: Convert to fraction form
    77,475/119,715 = 119,715/x
  3. Step 3: Cross multiply
    77,475x = 119,715 × 119,715
  4. Step 4: Simplify right side
    77,475x = 14,331,681,225
  5. Step 5: Solve for x
    x = 14,331,681,225/77,475
  6. Step 6: Final answer
    x = 184,984.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.