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Finding the Third Proportional to 261,045.75 and 415,378.50

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Solution

The third proportional to 261,045.75 and 415,378.50 is: 660,954.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,045.75 : 415,378.50 = 415,378.50 : x
  2. Step 2: Convert to fraction form
    261,045.75/415,378.50 = 415,378.50/x
  3. Step 3: Cross multiply
    261,045.75x = 415,378.50 × 415,378.50
  4. Step 4: Simplify right side
    261,045.75x = 172,539,298,262.25
  5. Step 5: Solve for x
    x = 172,539,298,262.25/261,045.75
  6. Step 6: Final answer
    x = 660,954.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.