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Finding the Third Proportional to 213,323.63 and 321,337.13

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Solution

The third proportional to 213,323.63 and 321,337.13 is: 484,041.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,323.63 : 321,337.13 = 321,337.13 : x
  2. Step 2: Convert to fraction form
    213,323.63/321,337.13 = 321,337.13/x
  3. Step 3: Cross multiply
    213,323.63x = 321,337.13 × 321,337.13
  4. Step 4: Simplify right side
    213,323.63x = 103,257,547,903.27
  5. Step 5: Solve for x
    x = 103,257,547,903.27/213,323.63
  6. Step 6: Final answer
    x = 484,041.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.