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Finding the Third Proportional to 64,765 and 139,370

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Solution

The third proportional to 64,765 and 139,370 is: 299,915.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,765 : 139,370 = 139,370 : x
  2. Step 2: Convert to fraction form
    64,765/139,370 = 139,370/x
  3. Step 3: Cross multiply
    64,765x = 139,370 × 139,370
  4. Step 4: Simplify right side
    64,765x = 19,423,996,900
  5. Step 5: Solve for x
    x = 19,423,996,900/64,765
  6. Step 6: Final answer
    x = 299,915.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.