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Finding the Third Proportional to 255,258 and 536,638

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Solution

The third proportional to 255,258 and 536,638 is: 1,128,193.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,258 : 536,638 = 536,638 : x
  2. Step 2: Convert to fraction form
    255,258/536,638 = 536,638/x
  3. Step 3: Cross multiply
    255,258x = 536,638 × 536,638
  4. Step 4: Simplify right side
    255,258x = 287,980,343,044
  5. Step 5: Solve for x
    x = 287,980,343,044/255,258
  6. Step 6: Final answer
    x = 1,128,193.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.