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Finding the Third Proportional to 258,495 and 378,731

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Solution

The third proportional to 258,495 and 378,731 is: 554,893.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,495 : 378,731 = 378,731 : x
  2. Step 2: Convert to fraction form
    258,495/378,731 = 378,731/x
  3. Step 3: Cross multiply
    258,495x = 378,731 × 378,731
  4. Step 4: Simplify right side
    258,495x = 143,437,170,361
  5. Step 5: Solve for x
    x = 143,437,170,361/258,495
  6. Step 6: Final answer
    x = 554,893.40

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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.