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Finding the Third Proportional to 205,146 and 310,550

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Solution

The third proportional to 205,146 and 310,550 is: 470,110.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,146 : 310,550 = 310,550 : x
  2. Step 2: Convert to fraction form
    205,146/310,550 = 310,550/x
  3. Step 3: Cross multiply
    205,146x = 310,550 × 310,550
  4. Step 4: Simplify right side
    205,146x = 96,441,302,500
  5. Step 5: Solve for x
    x = 96,441,302,500/205,146
  6. Step 6: Final answer
    x = 470,110.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.