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Finding the Third Proportional to 208,334 and 431,437

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Solution

The third proportional to 208,334 and 431,437 is: 893,458.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,334 : 431,437 = 431,437 : x
  2. Step 2: Convert to fraction form
    208,334/431,437 = 431,437/x
  3. Step 3: Cross multiply
    208,334x = 431,437 × 431,437
  4. Step 4: Simplify right side
    208,334x = 186,137,884,969
  5. Step 5: Solve for x
    x = 186,137,884,969/208,334
  6. Step 6: Final answer
    x = 893,458.99

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.