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Finding the Third Proportional to 214,485 and 423,582

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Solution

The third proportional to 214,485 and 423,582 is: 836,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,485 : 423,582 = 423,582 : x
  2. Step 2: Convert to fraction form
    214,485/423,582 = 423,582/x
  3. Step 3: Cross multiply
    214,485x = 423,582 × 423,582
  4. Step 4: Simplify right side
    214,485x = 179,421,710,724
  5. Step 5: Solve for x
    x = 179,421,710,724/214,485
  6. Step 6: Final answer
    x = 836,523.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.