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Finding the Third Proportional to 290,475 and 626,832

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Solution

The third proportional to 290,475 and 626,832 is: 1,352,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,475 : 626,832 = 626,832 : x
  2. Step 2: Convert to fraction form
    290,475/626,832 = 626,832/x
  3. Step 3: Cross multiply
    290,475x = 626,832 × 626,832
  4. Step 4: Simplify right side
    290,475x = 392,918,356,224
  5. Step 5: Solve for x
    x = 392,918,356,224/290,475
  6. Step 6: Final answer
    x = 1,352,675.29

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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.