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Finding the Third Proportional to 199,631 and 307,709

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Solution

The third proportional to 199,631 and 307,709 is: 474,299.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,631 : 307,709 = 307,709 : x
  2. Step 2: Convert to fraction form
    199,631/307,709 = 307,709/x
  3. Step 3: Cross multiply
    199,631x = 307,709 × 307,709
  4. Step 4: Simplify right side
    199,631x = 94,684,828,681
  5. Step 5: Solve for x
    x = 94,684,828,681/199,631
  6. Step 6: Final answer
    x = 474,299.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.