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Finding the Third Proportional to 1,779,784.50 and 3,685,743.38

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Solution

The third proportional to 1,779,784.50 and 3,685,743.38 is: 7,632,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,779,784.50 : 3,685,743.38 = 3,685,743.38 : x
  2. Step 2: Convert to fraction form
    1,779,784.50/3,685,743.38 = 3,685,743.38/x
  3. Step 3: Cross multiply
    1,779,784.50x = 3,685,743.38 × 3,685,743.38
  4. Step 4: Simplify right side
    1,779,784.50x = 13,584,704,226,356.39
  5. Step 5: Solve for x
    x = 13,584,704,226,356.39/1,779,784.50
  6. Step 6: Final answer
    x = 7,632,780.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.