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Finding the Third Proportional to 207,306 and 320,118

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Solution

The third proportional to 207,306 and 320,118 is: 494,320.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,306 : 320,118 = 320,118 : x
  2. Step 2: Convert to fraction form
    207,306/320,118 = 320,118/x
  3. Step 3: Cross multiply
    207,306x = 320,118 × 320,118
  4. Step 4: Simplify right side
    207,306x = 102,475,533,924
  5. Step 5: Solve for x
    x = 102,475,533,924/207,306
  6. Step 6: Final answer
    x = 494,320.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.