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Finding the Third Proportional to 419,040 and 904,480

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Solution

The third proportional to 419,040 and 904,480 is: 1,952,281.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,040 : 904,480 = 904,480 : x
  2. Step 2: Convert to fraction form
    419,040/904,480 = 904,480/x
  3. Step 3: Cross multiply
    419,040x = 904,480 × 904,480
  4. Step 4: Simplify right side
    419,040x = 818,084,070,400
  5. Step 5: Solve for x
    x = 818,084,070,400/419,040
  6. Step 6: Final answer
    x = 1,952,281.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.