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Finding the Third Proportional to 768,312 and 1,676,592

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Solution

The third proportional to 768,312 and 1,676,592 is: 3,658,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,312 : 1,676,592 = 1,676,592 : x
  2. Step 2: Convert to fraction form
    768,312/1,676,592 = 1,676,592/x
  3. Step 3: Cross multiply
    768,312x = 1,676,592 × 1,676,592
  4. Step 4: Simplify right side
    768,312x = 2,810,960,734,464
  5. Step 5: Solve for x
    x = 2,810,960,734,464/768,312
  6. Step 6: Final answer
    x = 3,658,618.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.