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Finding the Third Proportional to 147,603 and 305,709

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Solution

The third proportional to 147,603 and 305,709 is: 633,171.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,603 : 305,709 = 305,709 : x
  2. Step 2: Convert to fraction form
    147,603/305,709 = 305,709/x
  3. Step 3: Cross multiply
    147,603x = 305,709 × 305,709
  4. Step 4: Simplify right side
    147,603x = 93,457,992,681
  5. Step 5: Solve for x
    x = 93,457,992,681/147,603
  6. Step 6: Final answer
    x = 633,171.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.