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Finding the Third Proportional to 504,328 and 780,918

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Solution

The third proportional to 504,328 and 780,918 is: 1,209,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,328 : 780,918 = 780,918 : x
  2. Step 2: Convert to fraction form
    504,328/780,918 = 780,918/x
  3. Step 3: Cross multiply
    504,328x = 780,918 × 780,918
  4. Step 4: Simplify right side
    504,328x = 609,832,922,724
  5. Step 5: Solve for x
    x = 609,832,922,724/504,328
  6. Step 6: Final answer
    x = 1,209,199.02

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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.