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Finding the Third Proportional to 504,371 and 780,920

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Solution

The third proportional to 504,371 and 780,920 is: 1,209,102.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,371 : 780,920 = 780,920 : x
  2. Step 2: Convert to fraction form
    504,371/780,920 = 780,920/x
  3. Step 3: Cross multiply
    504,371x = 780,920 × 780,920
  4. Step 4: Simplify right side
    504,371x = 609,836,046,400
  5. Step 5: Solve for x
    x = 609,836,046,400/504,371
  6. Step 6: Final answer
    x = 1,209,102.12

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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.