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Finding the Third Proportional to 261,603 and 565,020

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Solution

The third proportional to 261,603 and 565,020 is: 1,220,351.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,603 : 565,020 = 565,020 : x
  2. Step 2: Convert to fraction form
    261,603/565,020 = 565,020/x
  3. Step 3: Cross multiply
    261,603x = 565,020 × 565,020
  4. Step 4: Simplify right side
    261,603x = 319,247,600,400
  5. Step 5: Solve for x
    x = 319,247,600,400/261,603
  6. Step 6: Final answer
    x = 1,220,351.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.