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Finding the Third Proportional to 421,880 and 910,060

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Solution

The third proportional to 421,880 and 910,060 is: 1,963,139.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,880 : 910,060 = 910,060 : x
  2. Step 2: Convert to fraction form
    421,880/910,060 = 910,060/x
  3. Step 3: Cross multiply
    421,880x = 910,060 × 910,060
  4. Step 4: Simplify right side
    421,880x = 828,209,203,600
  5. Step 5: Solve for x
    x = 828,209,203,600/421,880
  6. Step 6: Final answer
    x = 1,963,139.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.