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Finding the Third Proportional to 257,670 and 549,576

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Solution

The third proportional to 257,670 and 549,576 is: 1,172,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,670 : 549,576 = 549,576 : x
  2. Step 2: Convert to fraction form
    257,670/549,576 = 549,576/x
  3. Step 3: Cross multiply
    257,670x = 549,576 × 549,576
  4. Step 4: Simplify right side
    257,670x = 302,033,779,776
  5. Step 5: Solve for x
    x = 302,033,779,776/257,670
  6. Step 6: Final answer
    x = 1,172,172.86

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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.