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Finding the Third Proportional to 142,994 and 304,989

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Solution

The third proportional to 142,994 and 304,989 is: 650,504.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,994 : 304,989 = 304,989 : x
  2. Step 2: Convert to fraction form
    142,994/304,989 = 304,989/x
  3. Step 3: Cross multiply
    142,994x = 304,989 × 304,989
  4. Step 4: Simplify right side
    142,994x = 93,018,290,121
  5. Step 5: Solve for x
    x = 93,018,290,121/142,994
  6. Step 6: Final answer
    x = 650,504.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.