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Finding the Third Proportional to 257,616 and 549,216

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Solution

The third proportional to 257,616 and 549,216 is: 1,170,883.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,616 : 549,216 = 549,216 : x
  2. Step 2: Convert to fraction form
    257,616/549,216 = 549,216/x
  3. Step 3: Cross multiply
    257,616x = 549,216 × 549,216
  4. Step 4: Simplify right side
    257,616x = 301,638,214,656
  5. Step 5: Solve for x
    x = 301,638,214,656/257,616
  6. Step 6: Final answer
    x = 1,170,883.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.