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Finding the Third Proportional to 132,916.50 and 291,668.63

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Solution

The third proportional to 132,916.50 and 291,668.63 is: 640,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,916.50 : 291,668.63 = 291,668.63 : x
  2. Step 2: Convert to fraction form
    132,916.50/291,668.63 = 291,668.63/x
  3. Step 3: Cross multiply
    132,916.50x = 291,668.63 × 291,668.63
  4. Step 4: Simplify right side
    132,916.50x = 85,070,586,809.39
  5. Step 5: Solve for x
    x = 85,070,586,809.39/132,916.50
  6. Step 6: Final answer
    x = 640,030.30

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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.