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Finding the Third Proportional to 145,411.50 and 311,883

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Solution

The third proportional to 145,411.50 and 311,883 is: 668,936.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,411.50 : 311,883 = 311,883 : x
  2. Step 2: Convert to fraction form
    145,411.50/311,883 = 311,883/x
  3. Step 3: Cross multiply
    145,411.50x = 311,883 × 311,883
  4. Step 4: Simplify right side
    145,411.50x = 97,271,005,689
  5. Step 5: Solve for x
    x = 97,271,005,689/145,411.50
  6. Step 6: Final answer
    x = 668,936.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.