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Finding the Third Proportional to 205,214 and 307,000

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Solution

The third proportional to 205,214 and 307,000 is: 459,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,214 : 307,000 = 307,000 : x
  2. Step 2: Convert to fraction form
    205,214/307,000 = 307,000/x
  3. Step 3: Cross multiply
    205,214x = 307,000 × 307,000
  4. Step 4: Simplify right side
    205,214x = 94,249,000,000
  5. Step 5: Solve for x
    x = 94,249,000,000/205,214
  6. Step 6: Final answer
    x = 459,271.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.