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Finding the Third Proportional to 208,628 and 450,510

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Solution

The third proportional to 208,628 and 450,510 is: 972,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,628 : 450,510 = 450,510 : x
  2. Step 2: Convert to fraction form
    208,628/450,510 = 450,510/x
  3. Step 3: Cross multiply
    208,628x = 450,510 × 450,510
  4. Step 4: Simplify right side
    208,628x = 202,959,260,100
  5. Step 5: Solve for x
    x = 202,959,260,100/208,628
  6. Step 6: Final answer
    x = 972,828.48

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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.