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Finding the Third Proportional to 205,071 and 321,047

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Solution

The third proportional to 205,071 and 321,047 is: 502,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,071 : 321,047 = 321,047 : x
  2. Step 2: Convert to fraction form
    205,071/321,047 = 321,047/x
  3. Step 3: Cross multiply
    205,071x = 321,047 × 321,047
  4. Step 4: Simplify right side
    205,071x = 103,071,176,209
  5. Step 5: Solve for x
    x = 103,071,176,209/205,071
  6. Step 6: Final answer
    x = 502,612.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.