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Finding the Third Proportional to 628,312 and 1,356,272

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Solution

The third proportional to 628,312 and 1,356,272 is: 2,927,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,312 : 1,356,272 = 1,356,272 : x
  2. Step 2: Convert to fraction form
    628,312/1,356,272 = 1,356,272/x
  3. Step 3: Cross multiply
    628,312x = 1,356,272 × 1,356,272
  4. Step 4: Simplify right side
    628,312x = 1,839,473,737,984
  5. Step 5: Solve for x
    x = 1,839,473,737,984/628,312
  6. Step 6: Final answer
    x = 2,927,643.81

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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.