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Finding the Third Proportional to 420,915 and 901,599

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Solution

The third proportional to 420,915 and 901,599 is: 1,931,223.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,915 : 901,599 = 901,599 : x
  2. Step 2: Convert to fraction form
    420,915/901,599 = 901,599/x
  3. Step 3: Cross multiply
    420,915x = 901,599 × 901,599
  4. Step 4: Simplify right side
    420,915x = 812,880,756,801
  5. Step 5: Solve for x
    x = 812,880,756,801/420,915
  6. Step 6: Final answer
    x = 1,931,223.07

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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.