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Finding the Third Proportional to 64,038.09 and 140,378.06

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Solution

The third proportional to 64,038.09 and 140,378.06 is: 307,723.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,038.09 : 140,378.06 = 140,378.06 : x
  2. Step 2: Convert to fraction form
    64,038.09/140,378.06 = 140,378.06/x
  3. Step 3: Cross multiply
    64,038.09x = 140,378.06 × 140,378.06
  4. Step 4: Simplify right side
    64,038.09x = 19,706,000,431.25
  5. Step 5: Solve for x
    x = 19,706,000,431.25/64,038.09
  6. Step 6: Final answer
    x = 307,723.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.