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Finding the Third Proportional to 706,272 and 1,075,728

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Solution

The third proportional to 706,272 and 1,075,728 is: 1,638,449.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,272 : 1,075,728 = 1,075,728 : x
  2. Step 2: Convert to fraction form
    706,272/1,075,728 = 1,075,728/x
  3. Step 3: Cross multiply
    706,272x = 1,075,728 × 1,075,728
  4. Step 4: Simplify right side
    706,272x = 1,157,190,729,984
  5. Step 5: Solve for x
    x = 1,157,190,729,984/706,272
  6. Step 6: Final answer
    x = 1,638,449.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.