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Finding the Third Proportional to 208,146 and 297,435

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Solution

The third proportional to 208,146 and 297,435 is: 425,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,146 : 297,435 = 297,435 : x
  2. Step 2: Convert to fraction form
    208,146/297,435 = 297,435/x
  3. Step 3: Cross multiply
    208,146x = 297,435 × 297,435
  4. Step 4: Simplify right side
    208,146x = 88,467,579,225
  5. Step 5: Solve for x
    x = 88,467,579,225/208,146
  6. Step 6: Final answer
    x = 425,026.56

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.