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Finding the Third Proportional to 210,907 and 453,820

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Solution

The third proportional to 210,907 and 453,820 is: 976,509.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,907 : 453,820 = 453,820 : x
  2. Step 2: Convert to fraction form
    210,907/453,820 = 453,820/x
  3. Step 3: Cross multiply
    210,907x = 453,820 × 453,820
  4. Step 4: Simplify right side
    210,907x = 205,952,592,400
  5. Step 5: Solve for x
    x = 205,952,592,400/210,907
  6. Step 6: Final answer
    x = 976,509.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.