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Finding the Third Proportional to 210,725 and 456,442

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Solution

The third proportional to 210,725 and 456,442 is: 988,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,725 : 456,442 = 456,442 : x
  2. Step 2: Convert to fraction form
    210,725/456,442 = 456,442/x
  3. Step 3: Cross multiply
    210,725x = 456,442 × 456,442
  4. Step 4: Simplify right side
    210,725x = 208,339,299,364
  5. Step 5: Solve for x
    x = 208,339,299,364/210,725
  6. Step 6: Final answer
    x = 988,678.61

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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.