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Finding the Third Proportional to 426,178 and 918,778

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Solution

The third proportional to 426,178 and 918,778 is: 1,980,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,178 : 918,778 = 918,778 : x
  2. Step 2: Convert to fraction form
    426,178/918,778 = 918,778/x
  3. Step 3: Cross multiply
    426,178x = 918,778 × 918,778
  4. Step 4: Simplify right side
    426,178x = 844,153,013,284
  5. Step 5: Solve for x
    x = 844,153,013,284/426,178
  6. Step 6: Final answer
    x = 1,980,752.21

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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.