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Finding the Third Proportional to 309,754 and 455,558

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Solution

The third proportional to 309,754 and 455,558 is: 669,993.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,754 : 455,558 = 455,558 : x
  2. Step 2: Convert to fraction form
    309,754/455,558 = 455,558/x
  3. Step 3: Cross multiply
    309,754x = 455,558 × 455,558
  4. Step 4: Simplify right side
    309,754x = 207,533,091,364
  5. Step 5: Solve for x
    x = 207,533,091,364/309,754
  6. Step 6: Final answer
    x = 669,993.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.