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Finding the Third Proportional to 426,174 and 918,768

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Solution

The third proportional to 426,174 and 918,768 is: 1,980,727.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,174 : 918,768 = 918,768 : x
  2. Step 2: Convert to fraction form
    426,174/918,768 = 918,768/x
  3. Step 3: Cross multiply
    426,174x = 918,768 × 918,768
  4. Step 4: Simplify right side
    426,174x = 844,134,637,824
  5. Step 5: Solve for x
    x = 844,134,637,824/426,174
  6. Step 6: Final answer
    x = 1,980,727.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.