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Finding the Third Proportional to 70,490 and 147,899

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Solution

The third proportional to 70,490 and 147,899 is: 310,315.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490 : 147,899 = 147,899 : x
  2. Step 2: Convert to fraction form
    70,490/147,899 = 147,899/x
  3. Step 3: Cross multiply
    70,490x = 147,899 × 147,899
  4. Step 4: Simplify right side
    70,490x = 21,874,114,201
  5. Step 5: Solve for x
    x = 21,874,114,201/70,490
  6. Step 6: Final answer
    x = 310,315.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.