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Finding the Third Proportional to 261,639 and 570,005

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Solution

The third proportional to 261,639 and 570,005 is: 1,241,809.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,639 : 570,005 = 570,005 : x
  2. Step 2: Convert to fraction form
    261,639/570,005 = 570,005/x
  3. Step 3: Cross multiply
    261,639x = 570,005 × 570,005
  4. Step 4: Simplify right side
    261,639x = 324,905,700,025
  5. Step 5: Solve for x
    x = 324,905,700,025/261,639
  6. Step 6: Final answer
    x = 1,241,809.13

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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.