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Finding the Third Proportional to 286,998 and 625,666

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Solution

The third proportional to 286,998 and 625,666 is: 1,363,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,998 : 625,666 = 625,666 : x
  2. Step 2: Convert to fraction form
    286,998/625,666 = 625,666/x
  3. Step 3: Cross multiply
    286,998x = 625,666 × 625,666
  4. Step 4: Simplify right side
    286,998x = 391,457,943,556
  5. Step 5: Solve for x
    x = 391,457,943,556/286,998
  6. Step 6: Final answer
    x = 1,363,974.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.