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Finding the Third Proportional to 65,246 and 139,037

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Solution

The third proportional to 65,246 and 139,037 is: 296,283.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,246 : 139,037 = 139,037 : x
  2. Step 2: Convert to fraction form
    65,246/139,037 = 139,037/x
  3. Step 3: Cross multiply
    65,246x = 139,037 × 139,037
  4. Step 4: Simplify right side
    65,246x = 19,331,287,369
  5. Step 5: Solve for x
    x = 19,331,287,369/65,246
  6. Step 6: Final answer
    x = 296,283.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.