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Finding the Third Proportional to 207,718 and 325,430

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Solution

The third proportional to 207,718 and 325,430 is: 509,848.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,718 : 325,430 = 325,430 : x
  2. Step 2: Convert to fraction form
    207,718/325,430 = 325,430/x
  3. Step 3: Cross multiply
    207,718x = 325,430 × 325,430
  4. Step 4: Simplify right side
    207,718x = 105,904,684,900
  5. Step 5: Solve for x
    x = 105,904,684,900/207,718
  6. Step 6: Final answer
    x = 509,848.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.