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Finding the Third Proportional to 426,388 and 585,798

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Solution

The third proportional to 426,388 and 585,798 is: 804,805.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,388 : 585,798 = 585,798 : x
  2. Step 2: Convert to fraction form
    426,388/585,798 = 585,798/x
  3. Step 3: Cross multiply
    426,388x = 585,798 × 585,798
  4. Step 4: Simplify right side
    426,388x = 343,159,296,804
  5. Step 5: Solve for x
    x = 343,159,296,804/426,388
  6. Step 6: Final answer
    x = 804,805.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.