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Finding the Third Proportional to 305,407.75 and 671,045.50

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Solution

The third proportional to 305,407.75 and 671,045.50 is: 1,474,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,407.75 : 671,045.50 = 671,045.50 : x
  2. Step 2: Convert to fraction form
    305,407.75/671,045.50 = 671,045.50/x
  3. Step 3: Cross multiply
    305,407.75x = 671,045.50 × 671,045.50
  4. Step 4: Simplify right side
    305,407.75x = 450,302,063,070.25
  5. Step 5: Solve for x
    x = 450,302,063,070.25/305,407.75
  6. Step 6: Final answer
    x = 1,474,429.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.