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Finding the Third Proportional to 209,776 and 452,721

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Solution

The third proportional to 209,776 and 452,721 is: 977,024.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,776 : 452,721 = 452,721 : x
  2. Step 2: Convert to fraction form
    209,776/452,721 = 452,721/x
  3. Step 3: Cross multiply
    209,776x = 452,721 × 452,721
  4. Step 4: Simplify right side
    209,776x = 204,956,303,841
  5. Step 5: Solve for x
    x = 204,956,303,841/209,776
  6. Step 6: Final answer
    x = 977,024.56

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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.