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Finding the Third Proportional to 427,805 and 910,666

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Solution

The third proportional to 427,805 and 910,666 is: 1,938,529.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,805 : 910,666 = 910,666 : x
  2. Step 2: Convert to fraction form
    427,805/910,666 = 910,666/x
  3. Step 3: Cross multiply
    427,805x = 910,666 × 910,666
  4. Step 4: Simplify right side
    427,805x = 829,312,563,556
  5. Step 5: Solve for x
    x = 829,312,563,556/427,805
  6. Step 6: Final answer
    x = 1,938,529.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.