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Finding the Third Proportional to 418,953 and 910,803

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Solution

The third proportional to 418,953 and 910,803 is: 1,980,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,953 : 910,803 = 910,803 : x
  2. Step 2: Convert to fraction form
    418,953/910,803 = 910,803/x
  3. Step 3: Cross multiply
    418,953x = 910,803 × 910,803
  4. Step 4: Simplify right side
    418,953x = 829,562,104,809
  5. Step 5: Solve for x
    x = 829,562,104,809/418,953
  6. Step 6: Final answer
    x = 1,980,083.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.