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Finding the Third Proportional to 153,416.50 and 317,485

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Solution

The third proportional to 153,416.50 and 317,485 is: 657,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,416.50 : 317,485 = 317,485 : x
  2. Step 2: Convert to fraction form
    153,416.50/317,485 = 317,485/x
  3. Step 3: Cross multiply
    153,416.50x = 317,485 × 317,485
  4. Step 4: Simplify right side
    153,416.50x = 100,796,725,225
  5. Step 5: Solve for x
    x = 100,796,725,225/153,416.50
  6. Step 6: Final answer
    x = 657,013.59

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.