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Finding the Third Proportional to 374,127.19 and 818,128.69

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Solution

The third proportional to 374,127.19 and 818,128.69 is: 1,789,056.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,127.19 : 818,128.69 = 818,128.69 : x
  2. Step 2: Convert to fraction form
    374,127.19/818,128.69 = 818,128.69/x
  3. Step 3: Cross multiply
    374,127.19x = 818,128.69 × 818,128.69
  4. Step 4: Simplify right side
    374,127.19x = 669,334,549,310.47
  5. Step 5: Solve for x
    x = 669,334,549,310.47/374,127.19
  6. Step 6: Final answer
    x = 1,789,056.16

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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.