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Finding the Third Proportional to 78,043 and 165,804

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Solution

The third proportional to 78,043 and 165,804 is: 352,254.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,043 : 165,804 = 165,804 : x
  2. Step 2: Convert to fraction form
    78,043/165,804 = 165,804/x
  3. Step 3: Cross multiply
    78,043x = 165,804 × 165,804
  4. Step 4: Simplify right side
    78,043x = 27,490,966,416
  5. Step 5: Solve for x
    x = 27,490,966,416/78,043
  6. Step 6: Final answer
    x = 352,254.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.