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Finding the Third Proportional to 191,528 and 407,264

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Solution

The third proportional to 191,528 and 407,264 is: 866,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,528 : 407,264 = 407,264 : x
  2. Step 2: Convert to fraction form
    191,528/407,264 = 407,264/x
  3. Step 3: Cross multiply
    191,528x = 407,264 × 407,264
  4. Step 4: Simplify right side
    191,528x = 165,863,965,696
  5. Step 5: Solve for x
    x = 165,863,965,696/191,528
  6. Step 6: Final answer
    x = 866,003.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.