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Finding the Third Proportional to 191,772 and 286,560

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Solution

The third proportional to 191,772 and 286,560 is: 428,199.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,772 : 286,560 = 286,560 : x
  2. Step 2: Convert to fraction form
    191,772/286,560 = 286,560/x
  3. Step 3: Cross multiply
    191,772x = 286,560 × 286,560
  4. Step 4: Simplify right side
    191,772x = 82,116,633,600
  5. Step 5: Solve for x
    x = 82,116,633,600/191,772
  6. Step 6: Final answer
    x = 428,199.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.