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Finding the Third Proportional to 145,364.63 and 213,262.88

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Solution

The third proportional to 145,364.63 and 213,262.88 is: 312,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,364.63 : 213,262.88 = 213,262.88 : x
  2. Step 2: Convert to fraction form
    145,364.63/213,262.88 = 213,262.88/x
  3. Step 3: Cross multiply
    145,364.63x = 213,262.88 × 213,262.88
  4. Step 4: Simplify right side
    145,364.63x = 45,481,053,853.27
  5. Step 5: Solve for x
    x = 45,481,053,853.27/145,364.63
  6. Step 6: Final answer
    x = 312,875.67

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.