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Finding the Third Proportional to 142,603.03 and 309,840.19

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Solution

The third proportional to 142,603.03 and 309,840.19 is: 673,204.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,603.03 : 309,840.19 = 309,840.19 : x
  2. Step 2: Convert to fraction form
    142,603.03/309,840.19 = 309,840.19/x
  3. Step 3: Cross multiply
    142,603.03x = 309,840.19 × 309,840.19
  4. Step 4: Simplify right side
    142,603.03x = 96,000,941,790.04
  5. Step 5: Solve for x
    x = 96,000,941,790.04/142,603.03
  6. Step 6: Final answer
    x = 673,204.08

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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.