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Finding the Third Proportional to 255,603 and 537,647

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Solution

The third proportional to 255,603 and 537,647 is: 1,130,911.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,603 : 537,647 = 537,647 : x
  2. Step 2: Convert to fraction form
    255,603/537,647 = 537,647/x
  3. Step 3: Cross multiply
    255,603x = 537,647 × 537,647
  4. Step 4: Simplify right side
    255,603x = 289,064,296,609
  5. Step 5: Solve for x
    x = 289,064,296,609/255,603
  6. Step 6: Final answer
    x = 1,130,911.20

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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.