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Finding the Third Proportional to 257,653.50 and 549,550.50

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Solution

The third proportional to 257,653.50 and 549,550.50 is: 1,172,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,653.50 : 549,550.50 = 549,550.50 : x
  2. Step 2: Convert to fraction form
    257,653.50/549,550.50 = 549,550.50/x
  3. Step 3: Cross multiply
    257,653.50x = 549,550.50 × 549,550.50
  4. Step 4: Simplify right side
    257,653.50x = 302,005,752,050.25
  5. Step 5: Solve for x
    x = 302,005,752,050.25/257,653.50
  6. Step 6: Final answer
    x = 1,172,139.14

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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.