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Finding the Third Proportional to 306,640.69 and 470,675.81

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Solution

The third proportional to 306,640.69 and 470,675.81 is: 722,460.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,640.69 : 470,675.81 = 470,675.81 : x
  2. Step 2: Convert to fraction form
    306,640.69/470,675.81 = 470,675.81/x
  3. Step 3: Cross multiply
    306,640.69x = 470,675.81 × 470,675.81
  4. Step 4: Simplify right side
    306,640.69x = 221,535,720,472.54
  5. Step 5: Solve for x
    x = 221,535,720,472.54/306,640.69
  6. Step 6: Final answer
    x = 722,460.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.