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Finding the Third Proportional to 1,780,457.20 and 4,200,236.02

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Solution

The third proportional to 1,780,457.20 and 4,200,236.02 is: 9,908,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,780,457.20 : 4,200,236.02 = 4,200,236.02 : x
  2. Step 2: Convert to fraction form
    1,780,457.20/4,200,236.02 = 4,200,236.02/x
  3. Step 3: Cross multiply
    1,780,457.20x = 4,200,236.02 × 4,200,236.02
  4. Step 4: Simplify right side
    1,780,457.20x = 17,641,982,586,953.38
  5. Step 5: Solve for x
    x = 17,641,982,586,953.38/1,780,457.20
  6. Step 6: Final answer
    x = 9,908,681.07

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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.