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Finding the Third Proportional to 145,525.50 and 312,313

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Solution

The third proportional to 145,525.50 and 312,313 is: 670,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,525.50 : 312,313 = 312,313 : x
  2. Step 2: Convert to fraction form
    145,525.50/312,313 = 312,313/x
  3. Step 3: Cross multiply
    145,525.50x = 312,313 × 312,313
  4. Step 4: Simplify right side
    145,525.50x = 97,539,409,969
  5. Step 5: Solve for x
    x = 97,539,409,969/145,525.50
  6. Step 6: Final answer
    x = 670,256.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.