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Finding the Third Proportional to 210,721 and 456,434

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Solution

The third proportional to 210,721 and 456,434 is: 988,662.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,721 : 456,434 = 456,434 : x
  2. Step 2: Convert to fraction form
    210,721/456,434 = 456,434/x
  3. Step 3: Cross multiply
    210,721x = 456,434 × 456,434
  4. Step 4: Simplify right side
    210,721x = 208,331,996,356
  5. Step 5: Solve for x
    x = 208,331,996,356/210,721
  6. Step 6: Final answer
    x = 988,662.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.