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Finding the Third Proportional to 303,648 and 432,553

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Solution

The third proportional to 303,648 and 432,553 is: 616,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,648 : 432,553 = 432,553 : x
  2. Step 2: Convert to fraction form
    303,648/432,553 = 432,553/x
  3. Step 3: Cross multiply
    303,648x = 432,553 × 432,553
  4. Step 4: Simplify right side
    303,648x = 187,102,097,809
  5. Step 5: Solve for x
    x = 187,102,097,809/303,648
  6. Step 6: Final answer
    x = 616,180.90

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.