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Finding the Third Proportional to 145,239.75 and 318,475.13

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Solution

The third proportional to 145,239.75 and 318,475.13 is: 698,337.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,239.75 : 318,475.13 = 318,475.13 : x
  2. Step 2: Convert to fraction form
    145,239.75/318,475.13 = 318,475.13/x
  3. Step 3: Cross multiply
    145,239.75x = 318,475.13 × 318,475.13
  4. Step 4: Simplify right side
    145,239.75x = 101,426,405,243.77
  5. Step 5: Solve for x
    x = 101,426,405,243.77/145,239.75
  6. Step 6: Final answer
    x = 698,337.78

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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.