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Finding the Third Proportional to 418,476 and 912,768

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Solution

The third proportional to 418,476 and 912,768 is: 1,990,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,476 : 912,768 = 912,768 : x
  2. Step 2: Convert to fraction form
    418,476/912,768 = 912,768/x
  3. Step 3: Cross multiply
    418,476x = 912,768 × 912,768
  4. Step 4: Simplify right side
    418,476x = 833,145,421,824
  5. Step 5: Solve for x
    x = 833,145,421,824/418,476
  6. Step 6: Final answer
    x = 1,990,903.71

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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.