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Finding the Third Proportional to 434,501 and 908,718

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Solution

The third proportional to 434,501 and 908,718 is: 1,900,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,501 : 908,718 = 908,718 : x
  2. Step 2: Convert to fraction form
    434,501/908,718 = 908,718/x
  3. Step 3: Cross multiply
    434,501x = 908,718 × 908,718
  4. Step 4: Simplify right side
    434,501x = 825,768,403,524
  5. Step 5: Solve for x
    x = 825,768,403,524/434,501
  6. Step 6: Final answer
    x = 1,900,498.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.