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Finding the Third Proportional to 213,095.81 and 355,114.13

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Solution

The third proportional to 213,095.81 and 355,114.13 is: 591,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,095.81 : 355,114.13 = 355,114.13 : x
  2. Step 2: Convert to fraction form
    213,095.81/355,114.13 = 355,114.13/x
  3. Step 3: Cross multiply
    213,095.81x = 355,114.13 × 355,114.13
  4. Step 4: Simplify right side
    213,095.81x = 126,106,041,774.52
  5. Step 5: Solve for x
    x = 126,106,041,774.52/213,095.81
  6. Step 6: Final answer
    x = 591,780.95

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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.