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Finding the Third Proportional to 549,000 and 1,189,640

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Solution

The third proportional to 549,000 and 1,189,640 is: 2,577,856.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,000 : 1,189,640 = 1,189,640 : x
  2. Step 2: Convert to fraction form
    549,000/1,189,640 = 1,189,640/x
  3. Step 3: Cross multiply
    549,000x = 1,189,640 × 1,189,640
  4. Step 4: Simplify right side
    549,000x = 1,415,243,329,600
  5. Step 5: Solve for x
    x = 1,415,243,329,600/549,000
  6. Step 6: Final answer
    x = 2,577,856.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.