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Finding the Third Proportional to 272,677 and 570,409

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Solution

The third proportional to 272,677 and 570,409 is: 1,193,230.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,677 : 570,409 = 570,409 : x
  2. Step 2: Convert to fraction form
    272,677/570,409 = 570,409/x
  3. Step 3: Cross multiply
    272,677x = 570,409 × 570,409
  4. Step 4: Simplify right side
    272,677x = 325,366,427,281
  5. Step 5: Solve for x
    x = 325,366,427,281/272,677
  6. Step 6: Final answer
    x = 1,193,230.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.