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Finding the Third Proportional to 205,574.63 and 316,387.69

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Solution

The third proportional to 205,574.63 and 316,387.69 is: 486,933.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,574.63 : 316,387.69 = 316,387.69 : x
  2. Step 2: Convert to fraction form
    205,574.63/316,387.69 = 316,387.69/x
  3. Step 3: Cross multiply
    205,574.63x = 316,387.69 × 316,387.69
  4. Step 4: Simplify right side
    205,574.63x = 100,101,168,801.60
  5. Step 5: Solve for x
    x = 100,101,168,801.60/205,574.63
  6. Step 6: Final answer
    x = 486,933.49

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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.