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Finding the Third Proportional to 210,724 and 457,160

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Solution

The third proportional to 210,724 and 457,160 is: 991,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,724 : 457,160 = 457,160 : x
  2. Step 2: Convert to fraction form
    210,724/457,160 = 457,160/x
  3. Step 3: Cross multiply
    210,724x = 457,160 × 457,160
  4. Step 4: Simplify right side
    210,724x = 208,995,265,600
  5. Step 5: Solve for x
    x = 208,995,265,600/210,724
  6. Step 6: Final answer
    x = 991,796.21

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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.