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Finding the Third Proportional to 443,341.50 and 669,668.25

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Solution

The third proportional to 443,341.50 and 669,668.25 is: 1,011,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,341.50 : 669,668.25 = 669,668.25 : x
  2. Step 2: Convert to fraction form
    443,341.50/669,668.25 = 669,668.25/x
  3. Step 3: Cross multiply
    443,341.50x = 669,668.25 × 669,668.25
  4. Step 4: Simplify right side
    443,341.50x = 448,455,565,058.06
  5. Step 5: Solve for x
    x = 448,455,565,058.06/443,341.50
  6. Step 6: Final answer
    x = 1,011,535.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.