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Finding the Third Proportional to 438,516 and 946,980

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Solution

The third proportional to 438,516 and 946,980 is: 2,045,013.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,516 : 946,980 = 946,980 : x
  2. Step 2: Convert to fraction form
    438,516/946,980 = 946,980/x
  3. Step 3: Cross multiply
    438,516x = 946,980 × 946,980
  4. Step 4: Simplify right side
    438,516x = 896,771,120,400
  5. Step 5: Solve for x
    x = 896,771,120,400/438,516
  6. Step 6: Final answer
    x = 2,045,013.46

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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.