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Finding the Third Proportional to 145,833 and 208,539

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Solution

The third proportional to 145,833 and 208,539 is: 298,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,833 : 208,539 = 208,539 : x
  2. Step 2: Convert to fraction form
    145,833/208,539 = 208,539/x
  3. Step 3: Cross multiply
    145,833x = 208,539 × 208,539
  4. Step 4: Simplify right side
    145,833x = 43,488,514,521
  5. Step 5: Solve for x
    x = 43,488,514,521/145,833
  6. Step 6: Final answer
    x = 298,207.64

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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.