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Finding the Third Proportional to 407,736 and 623,316

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Solution

The third proportional to 407,736 and 623,316 is: 952,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,736 : 623,316 = 623,316 : x
  2. Step 2: Convert to fraction form
    407,736/623,316 = 623,316/x
  3. Step 3: Cross multiply
    407,736x = 623,316 × 623,316
  4. Step 4: Simplify right side
    407,736x = 388,522,835,856
  5. Step 5: Solve for x
    x = 388,522,835,856/407,736
  6. Step 6: Final answer
    x = 952,878.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.