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Finding the Third Proportional to 292,815 and 397,750.50

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Solution

The third proportional to 292,815 and 397,750.50 is: 540,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,815 : 397,750.50 = 397,750.50 : x
  2. Step 2: Convert to fraction form
    292,815/397,750.50 = 397,750.50/x
  3. Step 3: Cross multiply
    292,815x = 397,750.50 × 397,750.50
  4. Step 4: Simplify right side
    292,815x = 158,205,460,250.25
  5. Step 5: Solve for x
    x = 158,205,460,250.25/292,815
  6. Step 6: Final answer
    x = 540,291.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.