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Finding the Third Proportional to 257,695.45 and 549,615.10

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Solution

The third proportional to 257,695.45 and 549,615.10 is: 1,172,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,695.45 : 549,615.10 = 549,615.10 : x
  2. Step 2: Convert to fraction form
    257,695.45/549,615.10 = 549,615.10/x
  3. Step 3: Cross multiply
    257,695.45x = 549,615.10 × 549,615.10
  4. Step 4: Simplify right side
    257,695.45x = 302,076,756,108.38
  5. Step 5: Solve for x
    x = 302,076,756,108.38/257,695.45
  6. Step 6: Final answer
    x = 1,172,223.87

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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.