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Finding the Third Proportional to 210,258 and 458,532

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Solution

The third proportional to 210,258 and 458,532 is: 999,969.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,258 : 458,532 = 458,532 : x
  2. Step 2: Convert to fraction form
    210,258/458,532 = 458,532/x
  3. Step 3: Cross multiply
    210,258x = 458,532 × 458,532
  4. Step 4: Simplify right side
    210,258x = 210,251,595,024
  5. Step 5: Solve for x
    x = 210,251,595,024/210,258
  6. Step 6: Final answer
    x = 999,969.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.