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Finding the Third Proportional to 505,136 and 784,264

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Solution

The third proportional to 505,136 and 784,264 is: 1,217,632.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,136 : 784,264 = 784,264 : x
  2. Step 2: Convert to fraction form
    505,136/784,264 = 784,264/x
  3. Step 3: Cross multiply
    505,136x = 784,264 × 784,264
  4. Step 4: Simplify right side
    505,136x = 615,070,021,696
  5. Step 5: Solve for x
    x = 615,070,021,696/505,136
  6. Step 6: Final answer
    x = 1,217,632.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.