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Finding the Third Proportional to 205,577 and 316,391

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Solution

The third proportional to 205,577 and 316,391 is: 486,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,577 : 316,391 = 316,391 : x
  2. Step 2: Convert to fraction form
    205,577/316,391 = 316,391/x
  3. Step 3: Cross multiply
    205,577x = 316,391 × 316,391
  4. Step 4: Simplify right side
    205,577x = 100,103,264,881
  5. Step 5: Solve for x
    x = 100,103,264,881/205,577
  6. Step 6: Final answer
    x = 486,938.06

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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.