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Finding the Third Proportional to 210,480 and 450,816

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Solution

The third proportional to 210,480 and 450,816 is: 965,578.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,480 : 450,816 = 450,816 : x
  2. Step 2: Convert to fraction form
    210,480/450,816 = 450,816/x
  3. Step 3: Cross multiply
    210,480x = 450,816 × 450,816
  4. Step 4: Simplify right side
    210,480x = 203,235,065,856
  5. Step 5: Solve for x
    x = 203,235,065,856/210,480
  6. Step 6: Final answer
    x = 965,578.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.