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Finding the Third Proportional to 199,480 and 430,664

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Solution

The third proportional to 199,480 and 430,664 is: 929,774.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,480 : 430,664 = 430,664 : x
  2. Step 2: Convert to fraction form
    199,480/430,664 = 430,664/x
  3. Step 3: Cross multiply
    199,480x = 430,664 × 430,664
  4. Step 4: Simplify right side
    199,480x = 185,471,480,896
  5. Step 5: Solve for x
    x = 185,471,480,896/199,480
  6. Step 6: Final answer
    x = 929,774.82

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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.