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Finding the Third Proportional to 261,829 and 570,312

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Solution

The third proportional to 261,829 and 570,312 is: 1,242,245.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,829 : 570,312 = 570,312 : x
  2. Step 2: Convert to fraction form
    261,829/570,312 = 570,312/x
  3. Step 3: Cross multiply
    261,829x = 570,312 × 570,312
  4. Step 4: Simplify right side
    261,829x = 325,255,777,344
  5. Step 5: Solve for x
    x = 325,255,777,344/261,829
  6. Step 6: Final answer
    x = 1,242,245.04

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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.