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Finding the Third Proportional to 64,560 and 139,840

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Solution

The third proportional to 64,560 and 139,840 is: 302,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,560 : 139,840 = 139,840 : x
  2. Step 2: Convert to fraction form
    64,560/139,840 = 139,840/x
  3. Step 3: Cross multiply
    64,560x = 139,840 × 139,840
  4. Step 4: Simplify right side
    64,560x = 19,555,225,600
  5. Step 5: Solve for x
    x = 19,555,225,600/64,560
  6. Step 6: Final answer
    x = 302,900.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.