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Finding the Third Proportional to 214,983 and 424,673

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Solution

The third proportional to 214,983 and 424,673 is: 838,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,983 : 424,673 = 424,673 : x
  2. Step 2: Convert to fraction form
    214,983/424,673 = 424,673/x
  3. Step 3: Cross multiply
    214,983x = 424,673 × 424,673
  4. Step 4: Simplify right side
    214,983x = 180,347,156,929
  5. Step 5: Solve for x
    x = 180,347,156,929/214,983
  6. Step 6: Final answer
    x = 838,890.32

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.