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Finding the Third Proportional to 214,488 and 423,585

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Solution

The third proportional to 214,488 and 423,585 is: 836,523.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,488 : 423,585 = 423,585 : x
  2. Step 2: Convert to fraction form
    214,488/423,585 = 423,585/x
  3. Step 3: Cross multiply
    214,488x = 423,585 × 423,585
  4. Step 4: Simplify right side
    214,488x = 179,424,252,225
  5. Step 5: Solve for x
    x = 179,424,252,225/214,488
  6. Step 6: Final answer
    x = 836,523.50

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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.