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Finding the Third Proportional to 289,528 and 632,636

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Solution

The third proportional to 289,528 and 632,636 is: 1,382,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,528 : 632,636 = 632,636 : x
  2. Step 2: Convert to fraction form
    289,528/632,636 = 632,636/x
  3. Step 3: Cross multiply
    289,528x = 632,636 × 632,636
  4. Step 4: Simplify right side
    289,528x = 400,228,308,496
  5. Step 5: Solve for x
    x = 400,228,308,496/289,528
  6. Step 6: Final answer
    x = 1,382,347.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.