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Finding the Third Proportional to 421,440 and 931,512

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Solution

The third proportional to 421,440 and 931,512 is: 2,058,927.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,440 : 931,512 = 931,512 : x
  2. Step 2: Convert to fraction form
    421,440/931,512 = 931,512/x
  3. Step 3: Cross multiply
    421,440x = 931,512 × 931,512
  4. Step 4: Simplify right side
    421,440x = 867,714,606,144
  5. Step 5: Solve for x
    x = 867,714,606,144/421,440
  6. Step 6: Final answer
    x = 2,058,927.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.