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Finding the Third Proportional to 210,377 and 456,421

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Solution

The third proportional to 210,377 and 456,421 is: 990,222.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,377 : 456,421 = 456,421 : x
  2. Step 2: Convert to fraction form
    210,377/456,421 = 456,421/x
  3. Step 3: Cross multiply
    210,377x = 456,421 × 456,421
  4. Step 4: Simplify right side
    210,377x = 208,320,129,241
  5. Step 5: Solve for x
    x = 208,320,129,241/210,377
  6. Step 6: Final answer
    x = 990,222.93

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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.