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Finding the Third Proportional to 131,457 and 286,938

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Solution

The third proportional to 131,457 and 286,938 is: 626,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,457 : 286,938 = 286,938 : x
  2. Step 2: Convert to fraction form
    131,457/286,938 = 286,938/x
  3. Step 3: Cross multiply
    131,457x = 286,938 × 286,938
  4. Step 4: Simplify right side
    131,457x = 82,333,415,844
  5. Step 5: Solve for x
    x = 82,333,415,844/131,457
  6. Step 6: Final answer
    x = 626,314.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.