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Finding the Third Proportional to 138,457.50 and 302,541

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Solution

The third proportional to 138,457.50 and 302,541 is: 661,076.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,457.50 : 302,541 = 302,541 : x
  2. Step 2: Convert to fraction form
    138,457.50/302,541 = 302,541/x
  3. Step 3: Cross multiply
    138,457.50x = 302,541 × 302,541
  4. Step 4: Simplify right side
    138,457.50x = 91,531,056,681
  5. Step 5: Solve for x
    x = 91,531,056,681/138,457.50
  6. Step 6: Final answer
    x = 661,076.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.