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Finding the Third Proportional to 257,045 and 376,785

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Solution

The third proportional to 257,045 and 376,785 is: 552,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,045 : 376,785 = 376,785 : x
  2. Step 2: Convert to fraction form
    257,045/376,785 = 376,785/x
  3. Step 3: Cross multiply
    257,045x = 376,785 × 376,785
  4. Step 4: Simplify right side
    257,045x = 141,966,936,225
  5. Step 5: Solve for x
    x = 141,966,936,225/257,045
  6. Step 6: Final answer
    x = 552,303.82

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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.