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Finding the Third Proportional to 145,553.06 and 318,261.38

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Solution

The third proportional to 145,553.06 and 318,261.38 is: 695,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,553.06 : 318,261.38 = 318,261.38 : x
  2. Step 2: Convert to fraction form
    145,553.06/318,261.38 = 318,261.38/x
  3. Step 3: Cross multiply
    145,553.06x = 318,261.38 × 318,261.38
  4. Step 4: Simplify right side
    145,553.06x = 101,290,302,816.89
  5. Step 5: Solve for x
    x = 101,290,302,816.89/145,553.06
  6. Step 6: Final answer
    x = 695,899.50

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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.