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Finding the Third Proportional to 504,375 and 780,926

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Solution

The third proportional to 504,375 and 780,926 is: 1,209,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,375 : 780,926 = 780,926 : x
  2. Step 2: Convert to fraction form
    504,375/780,926 = 780,926/x
  3. Step 3: Cross multiply
    504,375x = 780,926 × 780,926
  4. Step 4: Simplify right side
    504,375x = 609,845,417,476
  5. Step 5: Solve for x
    x = 609,845,417,476/504,375
  6. Step 6: Final answer
    x = 1,209,111.11

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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.