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Finding the Third Proportional to 304,448 and 657,678

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Solution

The third proportional to 304,448 and 657,678 is: 1,420,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,448 : 657,678 = 657,678 : x
  2. Step 2: Convert to fraction form
    304,448/657,678 = 657,678/x
  3. Step 3: Cross multiply
    304,448x = 657,678 × 657,678
  4. Step 4: Simplify right side
    304,448x = 432,540,351,684
  5. Step 5: Solve for x
    x = 432,540,351,684/304,448
  6. Step 6: Final answer
    x = 1,420,736.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.