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Finding the Third Proportional to 81,688 and 130,308

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Solution

The third proportional to 81,688 and 130,308 is: 207,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,688 : 130,308 = 130,308 : x
  2. Step 2: Convert to fraction form
    81,688/130,308 = 130,308/x
  3. Step 3: Cross multiply
    81,688x = 130,308 × 130,308
  4. Step 4: Simplify right side
    81,688x = 16,980,174,864
  5. Step 5: Solve for x
    x = 16,980,174,864/81,688
  6. Step 6: Final answer
    x = 207,866.21

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.