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Finding the Third Proportional to 420,673.50 and 912,330

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Solution

The third proportional to 420,673.50 and 912,330 is: 1,978,603.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,673.50 : 912,330 = 912,330 : x
  2. Step 2: Convert to fraction form
    420,673.50/912,330 = 912,330/x
  3. Step 3: Cross multiply
    420,673.50x = 912,330 × 912,330
  4. Step 4: Simplify right side
    420,673.50x = 832,346,028,900
  5. Step 5: Solve for x
    x = 832,346,028,900/420,673.50
  6. Step 6: Final answer
    x = 1,978,603.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.