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Finding the Third Proportional to 205,124.06 and 310,518.56

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Solution

The third proportional to 205,124.06 and 310,518.56 is: 470,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,124.06 : 310,518.56 = 310,518.56 : x
  2. Step 2: Convert to fraction form
    205,124.06/310,518.56 = 310,518.56/x
  3. Step 3: Cross multiply
    205,124.06x = 310,518.56 × 310,518.56
  4. Step 4: Simplify right side
    205,124.06x = 96,421,777,657.07
  5. Step 5: Solve for x
    x = 96,421,777,657.07/205,124.06
  6. Step 6: Final answer
    x = 470,065.66

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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.