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Finding the Third Proportional to 292,156.50 and 438,415.50

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Solution

The third proportional to 292,156.50 and 438,415.50 is: 657,894.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,156.50 : 438,415.50 = 438,415.50 : x
  2. Step 2: Convert to fraction form
    292,156.50/438,415.50 = 438,415.50/x
  3. Step 3: Cross multiply
    292,156.50x = 438,415.50 × 438,415.50
  4. Step 4: Simplify right side
    292,156.50x = 192,208,150,640.25
  5. Step 5: Solve for x
    x = 192,208,150,640.25/292,156.50
  6. Step 6: Final answer
    x = 657,894.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.