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Finding the Third Proportional to 261,810 and 570,276

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Solution

The third proportional to 261,810 and 570,276 is: 1,242,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810 : 570,276 = 570,276 : x
  2. Step 2: Convert to fraction form
    261,810/570,276 = 570,276/x
  3. Step 3: Cross multiply
    261,810x = 570,276 × 570,276
  4. Step 4: Simplify right side
    261,810x = 325,214,716,176
  5. Step 5: Solve for x
    x = 325,214,716,176/261,810
  6. Step 6: Final answer
    x = 1,242,178.36

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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.