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Finding the Third Proportional to 92,470 and 139,237

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Solution

The third proportional to 92,470 and 139,237 is: 209,656.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,470 : 139,237 = 139,237 : x
  2. Step 2: Convert to fraction form
    92,470/139,237 = 139,237/x
  3. Step 3: Cross multiply
    92,470x = 139,237 × 139,237
  4. Step 4: Simplify right side
    92,470x = 19,386,942,169
  5. Step 5: Solve for x
    x = 19,386,942,169/92,470
  6. Step 6: Final answer
    x = 209,656.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.