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Finding the Third Proportional to 118,521 and 258,345

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Solution

The third proportional to 118,521 and 258,345 is: 563,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,521 : 258,345 = 258,345 : x
  2. Step 2: Convert to fraction form
    118,521/258,345 = 258,345/x
  3. Step 3: Cross multiply
    118,521x = 258,345 × 258,345
  4. Step 4: Simplify right side
    118,521x = 66,742,139,025
  5. Step 5: Solve for x
    x = 66,742,139,025/118,521
  6. Step 6: Final answer
    x = 563,125.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.