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Finding the Third Proportional to 258,258 and 562,260

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Solution

The third proportional to 258,258 and 562,260 is: 1,224,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,258 : 562,260 = 562,260 : x
  2. Step 2: Convert to fraction form
    258,258/562,260 = 562,260/x
  3. Step 3: Cross multiply
    258,258x = 562,260 × 562,260
  4. Step 4: Simplify right side
    258,258x = 316,136,307,600
  5. Step 5: Solve for x
    x = 316,136,307,600/258,258
  6. Step 6: Final answer
    x = 1,224,110.42

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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.