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Finding the Third Proportional to 458,861.63 and 645,030.84

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Solution

The third proportional to 458,861.63 and 645,030.84 is: 906,732.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,861.63 : 645,030.84 = 645,030.84 : x
  2. Step 2: Convert to fraction form
    458,861.63/645,030.84 = 645,030.84/x
  3. Step 3: Cross multiply
    458,861.63x = 645,030.84 × 645,030.84
  4. Step 4: Simplify right side
    458,861.63x = 416,064,789,388.84
  5. Step 5: Solve for x
    x = 416,064,789,388.84/458,861.63
  6. Step 6: Final answer
    x = 906,732.59

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.