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Finding the Third Proportional to 118,511 and 258,324.50

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Solution

The third proportional to 118,511 and 258,324.50 is: 563,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,511 : 258,324.50 = 258,324.50 : x
  2. Step 2: Convert to fraction form
    118,511/258,324.50 = 258,324.50/x
  3. Step 3: Cross multiply
    118,511x = 258,324.50 × 258,324.50
  4. Step 4: Simplify right side
    118,511x = 66,731,547,300.25
  5. Step 5: Solve for x
    x = 66,731,547,300.25/118,511
  6. Step 6: Final answer
    x = 563,083.15

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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.