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Finding the Third Proportional to 210,959 and 455,657

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Solution

The third proportional to 210,959 and 455,657 is: 984,187.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,959 : 455,657 = 455,657 : x
  2. Step 2: Convert to fraction form
    210,959/455,657 = 455,657/x
  3. Step 3: Cross multiply
    210,959x = 455,657 × 455,657
  4. Step 4: Simplify right side
    210,959x = 207,623,301,649
  5. Step 5: Solve for x
    x = 207,623,301,649/210,959
  6. Step 6: Final answer
    x = 984,187.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.