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Finding the Third Proportional to 215,754 and 458,724

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Solution

The third proportional to 215,754 and 458,724 is: 975,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,754 : 458,724 = 458,724 : x
  2. Step 2: Convert to fraction form
    215,754/458,724 = 458,724/x
  3. Step 3: Cross multiply
    215,754x = 458,724 × 458,724
  4. Step 4: Simplify right side
    215,754x = 210,427,708,176
  5. Step 5: Solve for x
    x = 210,427,708,176/215,754
  6. Step 6: Final answer
    x = 975,313.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.