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Finding the Third Proportional to 420,516 and 917,064

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Solution

The third proportional to 420,516 and 917,064 is: 1,999,939.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,516 : 917,064 = 917,064 : x
  2. Step 2: Convert to fraction form
    420,516/917,064 = 917,064/x
  3. Step 3: Cross multiply
    420,516x = 917,064 × 917,064
  4. Step 4: Simplify right side
    420,516x = 841,006,380,096
  5. Step 5: Solve for x
    x = 841,006,380,096/420,516
  6. Step 6: Final answer
    x = 1,999,939.08

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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.