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Finding the Third Proportional to 421,656 and 907,788

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Solution

The third proportional to 421,656 and 907,788 is: 1,954,387.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,656 : 907,788 = 907,788 : x
  2. Step 2: Convert to fraction form
    421,656/907,788 = 907,788/x
  3. Step 3: Cross multiply
    421,656x = 907,788 × 907,788
  4. Step 4: Simplify right side
    421,656x = 824,079,052,944
  5. Step 5: Solve for x
    x = 824,079,052,944/421,656
  6. Step 6: Final answer
    x = 1,954,387.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.