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Finding the Third Proportional to 72,780 and 115,730

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Solution

The third proportional to 72,780 and 115,730 is: 184,026.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,780 : 115,730 = 115,730 : x
  2. Step 2: Convert to fraction form
    72,780/115,730 = 115,730/x
  3. Step 3: Cross multiply
    72,780x = 115,730 × 115,730
  4. Step 4: Simplify right side
    72,780x = 13,393,432,900
  5. Step 5: Solve for x
    x = 13,393,432,900/72,780
  6. Step 6: Final answer
    x = 184,026.28

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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.