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Finding the Third Proportional to 420,636 and 917,397

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Solution

The third proportional to 420,636 and 917,397 is: 2,000,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,636 : 917,397 = 917,397 : x
  2. Step 2: Convert to fraction form
    420,636/917,397 = 917,397/x
  3. Step 3: Cross multiply
    420,636x = 917,397 × 917,397
  4. Step 4: Simplify right side
    420,636x = 841,617,255,609
  5. Step 5: Solve for x
    x = 841,617,255,609/420,636
  6. Step 6: Final answer
    x = 2,000,820.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.