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Finding the Third Proportional to 431,183 and 907,053

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Solution

The third proportional to 431,183 and 907,053 is: 1,908,111.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,183 : 907,053 = 907,053 : x
  2. Step 2: Convert to fraction form
    431,183/907,053 = 907,053/x
  3. Step 3: Cross multiply
    431,183x = 907,053 × 907,053
  4. Step 4: Simplify right side
    431,183x = 822,745,144,809
  5. Step 5: Solve for x
    x = 822,745,144,809/431,183
  6. Step 6: Final answer
    x = 1,908,111.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.