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Finding the Third Proportional to 64,220.34 and 139,478.20

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Solution

The third proportional to 64,220.34 and 139,478.20 is: 302,928.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,220.34 : 139,478.20 = 139,478.20 : x
  2. Step 2: Convert to fraction form
    64,220.34/139,478.20 = 139,478.20/x
  3. Step 3: Cross multiply
    64,220.34x = 139,478.20 × 139,478.20
  4. Step 4: Simplify right side
    64,220.34x = 19,454,169,146.98
  5. Step 5: Solve for x
    x = 19,454,169,146.98/64,220.34
  6. Step 6: Final answer
    x = 302,928.45

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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.