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Finding the Third Proportional to 421,440 and 921,564

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Solution

The third proportional to 421,440 and 921,564 is: 2,015,186.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,440 : 921,564 = 921,564 : x
  2. Step 2: Convert to fraction form
    421,440/921,564 = 921,564/x
  3. Step 3: Cross multiply
    421,440x = 921,564 × 921,564
  4. Step 4: Simplify right side
    421,440x = 849,280,206,096
  5. Step 5: Solve for x
    x = 849,280,206,096/421,440
  6. Step 6: Final answer
    x = 2,015,186.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.