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Finding the Third Proportional to 436,421 and 677,332

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Solution

The third proportional to 436,421 and 677,332 is: 1,051,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,421 : 677,332 = 677,332 : x
  2. Step 2: Convert to fraction form
    436,421/677,332 = 677,332/x
  3. Step 3: Cross multiply
    436,421x = 677,332 × 677,332
  4. Step 4: Simplify right side
    436,421x = 458,778,638,224
  5. Step 5: Solve for x
    x = 458,778,638,224/436,421
  6. Step 6: Final answer
    x = 1,051,229.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.