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Finding the Third Proportional to 145,004 and 321,113

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Solution

The third proportional to 145,004 and 321,113 is: 711,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,004 : 321,113 = 321,113 : x
  2. Step 2: Convert to fraction form
    145,004/321,113 = 321,113/x
  3. Step 3: Cross multiply
    145,004x = 321,113 × 321,113
  4. Step 4: Simplify right side
    145,004x = 103,113,558,769
  5. Step 5: Solve for x
    x = 103,113,558,769/145,004
  6. Step 6: Final answer
    x = 711,108.37

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.