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Finding the Third Proportional to 628,369 and 1,356,354

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Solution

The third proportional to 628,369 and 1,356,354 is: 2,927,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,369 : 1,356,354 = 1,356,354 : x
  2. Step 2: Convert to fraction form
    628,369/1,356,354 = 1,356,354/x
  3. Step 3: Cross multiply
    628,369x = 1,356,354 × 1,356,354
  4. Step 4: Simplify right side
    628,369x = 1,839,696,173,316
  5. Step 5: Solve for x
    x = 1,839,696,173,316/628,369
  6. Step 6: Final answer
    x = 2,927,732.23

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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.