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Finding the Third Proportional to 214,490 and 423,590

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Solution

The third proportional to 214,490 and 423,590 is: 836,535.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,490 : 423,590 = 423,590 : x
  2. Step 2: Convert to fraction form
    214,490/423,590 = 423,590/x
  3. Step 3: Cross multiply
    214,490x = 423,590 × 423,590
  4. Step 4: Simplify right side
    214,490x = 179,428,488,100
  5. Step 5: Solve for x
    x = 179,428,488,100/214,490
  6. Step 6: Final answer
    x = 836,535.45

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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.