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Finding the Third Proportional to 271,312.88 and 398,849.06

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Solution

The third proportional to 271,312.88 and 398,849.06 is: 586,336.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,312.88 : 398,849.06 = 398,849.06 : x
  2. Step 2: Convert to fraction form
    271,312.88/398,849.06 = 398,849.06/x
  3. Step 3: Cross multiply
    271,312.88x = 398,849.06 × 398,849.06
  4. Step 4: Simplify right side
    271,312.88x = 159,080,574,657.13
  5. Step 5: Solve for x
    x = 159,080,574,657.13/271,312.88
  6. Step 6: Final answer
    x = 586,336.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.