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Finding the Third Proportional to 261,495 and 554,391

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Solution

The third proportional to 261,495 and 554,391 is: 1,175,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,495 : 554,391 = 554,391 : x
  2. Step 2: Convert to fraction form
    261,495/554,391 = 554,391/x
  3. Step 3: Cross multiply
    261,495x = 554,391 × 554,391
  4. Step 4: Simplify right side
    261,495x = 307,349,380,881
  5. Step 5: Solve for x
    x = 307,349,380,881/261,495
  6. Step 6: Final answer
    x = 1,175,354.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.