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Finding the Third Proportional to 620,447 and 948,519

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Solution

The third proportional to 620,447 and 948,519 is: 1,450,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,447 : 948,519 = 948,519 : x
  2. Step 2: Convert to fraction form
    620,447/948,519 = 948,519/x
  3. Step 3: Cross multiply
    620,447x = 948,519 × 948,519
  4. Step 4: Simplify right side
    620,447x = 899,688,293,361
  5. Step 5: Solve for x
    x = 899,688,293,361/620,447
  6. Step 6: Final answer
    x = 1,450,064.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.