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Finding the Third Proportional to 1,537,240.78 and 2,189,830.57

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Solution

The third proportional to 1,537,240.78 and 2,189,830.57 is: 3,119,457.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537,240.78 : 2,189,830.57 = 2,189,830.57 : x
  2. Step 2: Convert to fraction form
    1,537,240.78/2,189,830.57 = 2,189,830.57/x
  3. Step 3: Cross multiply
    1,537,240.78x = 2,189,830.57 × 2,189,830.57
  4. Step 4: Simplify right side
    1,537,240.78x = 4,795,357,926,675.17
  5. Step 5: Solve for x
    x = 4,795,357,926,675.17/1,537,240.78
  6. Step 6: Final answer
    x = 3,119,457.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.