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Finding the Third Proportional to 261,360 and 384,385

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Solution

The third proportional to 261,360 and 384,385 is: 565,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,360 : 384,385 = 384,385 : x
  2. Step 2: Convert to fraction form
    261,360/384,385 = 384,385/x
  3. Step 3: Cross multiply
    261,360x = 384,385 × 384,385
  4. Step 4: Simplify right side
    261,360x = 147,751,828,225
  5. Step 5: Solve for x
    x = 147,751,828,225/261,360
  6. Step 6: Final answer
    x = 565,319.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.