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Finding the Third Proportional to 145,256 and 311,248

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Solution

The third proportional to 145,256 and 311,248 is: 666,928.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,256 : 311,248 = 311,248 : x
  2. Step 2: Convert to fraction form
    145,256/311,248 = 311,248/x
  3. Step 3: Cross multiply
    145,256x = 311,248 × 311,248
  4. Step 4: Simplify right side
    145,256x = 96,875,317,504
  5. Step 5: Solve for x
    x = 96,875,317,504/145,256
  6. Step 6: Final answer
    x = 666,928.16

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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.