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Finding the Third Proportional to 199,312 and 430,448

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Solution

The third proportional to 199,312 and 430,448 is: 929,625.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,312 : 430,448 = 430,448 : x
  2. Step 2: Convert to fraction form
    199,312/430,448 = 430,448/x
  3. Step 3: Cross multiply
    199,312x = 430,448 × 430,448
  4. Step 4: Simplify right side
    199,312x = 185,285,480,704
  5. Step 5: Solve for x
    x = 185,285,480,704/199,312
  6. Step 6: Final answer
    x = 929,625.31

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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.