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Finding the Third Proportional to 142,605.69 and 219,214.22

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Solution

The third proportional to 142,605.69 and 219,214.22 is: 336,977.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,605.69 : 219,214.22 = 219,214.22 : x
  2. Step 2: Convert to fraction form
    142,605.69/219,214.22 = 219,214.22/x
  3. Step 3: Cross multiply
    142,605.69x = 219,214.22 × 219,214.22
  4. Step 4: Simplify right side
    142,605.69x = 48,054,873,702.17
  5. Step 5: Solve for x
    x = 48,054,873,702.17/142,605.69
  6. Step 6: Final answer
    x = 336,977.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.