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Finding the Third Proportional to 628,983 and 1,358,082

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Solution

The third proportional to 628,983 and 1,358,082 is: 2,932,331.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,983 : 1,358,082 = 1,358,082 : x
  2. Step 2: Convert to fraction form
    628,983/1,358,082 = 1,358,082/x
  3. Step 3: Cross multiply
    628,983x = 1,358,082 × 1,358,082
  4. Step 4: Simplify right side
    628,983x = 1,844,386,718,724
  5. Step 5: Solve for x
    x = 1,844,386,718,724/628,983
  6. Step 6: Final answer
    x = 2,932,331.59

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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.