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Finding the Third Proportional to 257,688 and 376,644

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Solution

The third proportional to 257,688 and 376,644 is: 550,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,688 : 376,644 = 376,644 : x
  2. Step 2: Convert to fraction form
    257,688/376,644 = 376,644/x
  3. Step 3: Cross multiply
    257,688x = 376,644 × 376,644
  4. Step 4: Simplify right side
    257,688x = 141,860,702,736
  5. Step 5: Solve for x
    x = 141,860,702,736/257,688
  6. Step 6: Final answer
    x = 550,513.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.