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Finding the Third Proportional to 261,470 and 552,316

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Solution

The third proportional to 261,470 and 552,316 is: 1,166,684.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,470 : 552,316 = 552,316 : x
  2. Step 2: Convert to fraction form
    261,470/552,316 = 552,316/x
  3. Step 3: Cross multiply
    261,470x = 552,316 × 552,316
  4. Step 4: Simplify right side
    261,470x = 305,052,963,856
  5. Step 5: Solve for x
    x = 305,052,963,856/261,470
  6. Step 6: Final answer
    x = 1,166,684.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.