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Finding the Third Proportional to 257,712 and 376,680

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Solution

The third proportional to 257,712 and 376,680 is: 550,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,712 : 376,680 = 376,680 : x
  2. Step 2: Convert to fraction form
    257,712/376,680 = 376,680/x
  3. Step 3: Cross multiply
    257,712x = 376,680 × 376,680
  4. Step 4: Simplify right side
    257,712x = 141,887,822,400
  5. Step 5: Solve for x
    x = 141,887,822,400/257,712
  6. Step 6: Final answer
    x = 550,567.39

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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.