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Finding the Third Proportional to 208,623 and 450,501

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Solution

The third proportional to 208,623 and 450,501 is: 972,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,623 : 450,501 = 450,501 : x
  2. Step 2: Convert to fraction form
    208,623/450,501 = 450,501/x
  3. Step 3: Cross multiply
    208,623x = 450,501 × 450,501
  4. Step 4: Simplify right side
    208,623x = 202,951,151,001
  5. Step 5: Solve for x
    x = 202,951,151,001/208,623
  6. Step 6: Final answer
    x = 972,812.93

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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.