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Finding the Third Proportional to 86,495 and 187,205

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Solution

The third proportional to 86,495 and 187,205 is: 405,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,495 : 187,205 = 187,205 : x
  2. Step 2: Convert to fraction form
    86,495/187,205 = 187,205/x
  3. Step 3: Cross multiply
    86,495x = 187,205 × 187,205
  4. Step 4: Simplify right side
    86,495x = 35,045,712,025
  5. Step 5: Solve for x
    x = 35,045,712,025/86,495
  6. Step 6: Final answer
    x = 405,176.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.