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Finding the Third Proportional to 354,645 and 768,312

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Solution

The third proportional to 354,645 and 768,312 is: 1,664,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,645 : 768,312 = 768,312 : x
  2. Step 2: Convert to fraction form
    354,645/768,312 = 768,312/x
  3. Step 3: Cross multiply
    354,645x = 768,312 × 768,312
  4. Step 4: Simplify right side
    354,645x = 590,303,329,344
  5. Step 5: Solve for x
    x = 590,303,329,344/354,645
  6. Step 6: Final answer
    x = 1,664,490.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.