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Finding the Third Proportional to 208,346 and 431,464

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Solution

The third proportional to 208,346 and 431,464 is: 893,519.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,346 : 431,464 = 431,464 : x
  2. Step 2: Convert to fraction form
    208,346/431,464 = 431,464/x
  3. Step 3: Cross multiply
    208,346x = 431,464 × 431,464
  4. Step 4: Simplify right side
    208,346x = 186,161,183,296
  5. Step 5: Solve for x
    x = 186,161,183,296/208,346
  6. Step 6: Final answer
    x = 893,519.35

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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.