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Finding the Third Proportional to 270,465 and 421,008

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Solution

The third proportional to 270,465 and 421,008 is: 655,344.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,465 : 421,008 = 421,008 : x
  2. Step 2: Convert to fraction form
    270,465/421,008 = 421,008/x
  3. Step 3: Cross multiply
    270,465x = 421,008 × 421,008
  4. Step 4: Simplify right side
    270,465x = 177,247,736,064
  5. Step 5: Solve for x
    x = 177,247,736,064/270,465
  6. Step 6: Final answer
    x = 655,344.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.