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Finding the Third Proportional to 416,520 and 909,072

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Solution

The third proportional to 416,520 and 909,072 is: 1,984,086.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,520 : 909,072 = 909,072 : x
  2. Step 2: Convert to fraction form
    416,520/909,072 = 909,072/x
  3. Step 3: Cross multiply
    416,520x = 909,072 × 909,072
  4. Step 4: Simplify right side
    416,520x = 826,411,901,184
  5. Step 5: Solve for x
    x = 826,411,901,184/416,520
  6. Step 6: Final answer
    x = 1,984,086.96

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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.