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Finding the Third Proportional to 13,670,619.19 and 32,270,784.19

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Solution

The third proportional to 13,670,619.19 and 32,270,784.19 is: 76,178,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,670,619.19 : 32,270,784.19 = 32,270,784.19 : x
  2. Step 2: Convert to fraction form
    13,670,619.19/32,270,784.19 = 32,270,784.19/x
  3. Step 3: Cross multiply
    13,670,619.19x = 32,270,784.19 × 32,270,784.19
  4. Step 4: Simplify right side
    13,670,619.19x = 1,041,403,512,076,200
  5. Step 5: Solve for x
    x = 1,041,403,512,076,200/13,670,619.19
  6. Step 6: Final answer
    x = 76,178,225.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.