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Finding the Third Proportional to 213,073.03 and 355,079.95

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Solution

The third proportional to 213,073.03 and 355,079.95 is: 591,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,073.03 : 355,079.95 = 355,079.95 : x
  2. Step 2: Convert to fraction form
    213,073.03/355,079.95 = 355,079.95/x
  3. Step 3: Cross multiply
    213,073.03x = 355,079.95 × 355,079.95
  4. Step 4: Simplify right side
    213,073.03x = 126,081,773,111.25
  5. Step 5: Solve for x
    x = 126,081,773,111.25/213,073.03
  6. Step 6: Final answer
    x = 591,730.32

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.