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Finding the Third Proportional to 420,009 and 907,410

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Solution

The third proportional to 420,009 and 907,410 is: 1,960,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,009 : 907,410 = 907,410 : x
  2. Step 2: Convert to fraction form
    420,009/907,410 = 907,410/x
  3. Step 3: Cross multiply
    420,009x = 907,410 × 907,410
  4. Step 4: Simplify right side
    420,009x = 823,392,908,100
  5. Step 5: Solve for x
    x = 823,392,908,100/420,009
  6. Step 6: Final answer
    x = 1,960,417.30

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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.