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Finding the Third Proportional to 691,432 and 1,478,768

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Solution

The third proportional to 691,432 and 1,478,768 is: 3,162,646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,432 : 1,478,768 = 1,478,768 : x
  2. Step 2: Convert to fraction form
    691,432/1,478,768 = 1,478,768/x
  3. Step 3: Cross multiply
    691,432x = 1,478,768 × 1,478,768
  4. Step 4: Simplify right side
    691,432x = 2,186,754,797,824
  5. Step 5: Solve for x
    x = 2,186,754,797,824/691,432
  6. Step 6: Final answer
    x = 3,162,646.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.