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Finding the Third Proportional to 345,666 and 715,326

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Solution

The third proportional to 345,666 and 715,326 is: 1,480,305.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,666 : 715,326 = 715,326 : x
  2. Step 2: Convert to fraction form
    345,666/715,326 = 715,326/x
  3. Step 3: Cross multiply
    345,666x = 715,326 × 715,326
  4. Step 4: Simplify right side
    345,666x = 511,691,286,276
  5. Step 5: Solve for x
    x = 511,691,286,276/345,666
  6. Step 6: Final answer
    x = 1,480,305.52

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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.