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Finding the Third Proportional to 301,324 and 408,772

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Solution

The third proportional to 301,324 and 408,772 is: 554,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,324 : 408,772 = 408,772 : x
  2. Step 2: Convert to fraction form
    301,324/408,772 = 408,772/x
  3. Step 3: Cross multiply
    301,324x = 408,772 × 408,772
  4. Step 4: Simplify right side
    301,324x = 167,094,547,984
  5. Step 5: Solve for x
    x = 167,094,547,984/301,324
  6. Step 6: Final answer
    x = 554,534.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.