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Finding the Third Proportional to 420,628.78 and 917,381.53

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Solution

The third proportional to 420,628.78 and 917,381.53 is: 2,000,787.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,628.78 : 917,381.53 = 917,381.53 : x
  2. Step 2: Convert to fraction form
    420,628.78/917,381.53 = 917,381.53/x
  3. Step 3: Cross multiply
    420,628.78x = 917,381.53 × 917,381.53
  4. Step 4: Simplify right side
    420,628.78x = 841,588,873,878.60
  5. Step 5: Solve for x
    x = 841,588,873,878.60/420,628.78
  6. Step 6: Final answer
    x = 2,000,787.66

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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.