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Finding the Third Proportional to 305,920.13 and 656,111.81

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Solution

The third proportional to 305,920.13 and 656,111.81 is: 1,407,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,920.13 : 656,111.81 = 656,111.81 : x
  2. Step 2: Convert to fraction form
    305,920.13/656,111.81 = 656,111.81/x
  3. Step 3: Cross multiply
    305,920.13x = 656,111.81 × 656,111.81
  4. Step 4: Simplify right side
    305,920.13x = 430,482,710,502.04
  5. Step 5: Solve for x
    x = 430,482,710,502.04/305,920.13
  6. Step 6: Final answer
    x = 1,407,173.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.