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Finding the Third Proportional to 64,543.50 and 138,430.50

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Solution

The third proportional to 64,543.50 and 138,430.50 is: 296,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,543.50 : 138,430.50 = 138,430.50 : x
  2. Step 2: Convert to fraction form
    64,543.50/138,430.50 = 138,430.50/x
  3. Step 3: Cross multiply
    64,543.50x = 138,430.50 × 138,430.50
  4. Step 4: Simplify right side
    64,543.50x = 19,163,003,330.25
  5. Step 5: Solve for x
    x = 19,163,003,330.25/64,543.50
  6. Step 6: Final answer
    x = 296,900.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.