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Finding the Third Proportional to 78,346 and 114,237

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Solution

The third proportional to 78,346 and 114,237 is: 166,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,346 : 114,237 = 114,237 : x
  2. Step 2: Convert to fraction form
    78,346/114,237 = 114,237/x
  3. Step 3: Cross multiply
    78,346x = 114,237 × 114,237
  4. Step 4: Simplify right side
    78,346x = 13,050,092,169
  5. Step 5: Solve for x
    x = 13,050,092,169/78,346
  6. Step 6: Final answer
    x = 166,569.99

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.