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Finding the Third Proportional to 64,538.44 and 139,802.63

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Solution

The third proportional to 64,538.44 and 139,802.63 is: 302,839.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,538.44 : 139,802.63 = 139,802.63 : x
  2. Step 2: Convert to fraction form
    64,538.44/139,802.63 = 139,802.63/x
  3. Step 3: Cross multiply
    64,538.44x = 139,802.63 × 139,802.63
  4. Step 4: Simplify right side
    64,538.44x = 19,544,773,956.89
  5. Step 5: Solve for x
    x = 19,544,773,956.89/64,538.44
  6. Step 6: Final answer
    x = 302,839.28

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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.