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Finding the Third Proportional to 205,988.63 and 318,783.94

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Solution

The third proportional to 205,988.63 and 318,783.94 is: 493,343.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,988.63 : 318,783.94 = 318,783.94 : x
  2. Step 2: Convert to fraction form
    205,988.63/318,783.94 = 318,783.94/x
  3. Step 3: Cross multiply
    205,988.63x = 318,783.94 × 318,783.94
  4. Step 4: Simplify right side
    205,988.63x = 101,623,198,808.00
  5. Step 5: Solve for x
    x = 101,623,198,808.00/205,988.63
  6. Step 6: Final answer
    x = 493,343.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.