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Finding the Third Proportional to 292,284 and 438,466.50

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Solution

The third proportional to 292,284 and 438,466.50 is: 657,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,284 : 438,466.50 = 438,466.50 : x
  2. Step 2: Convert to fraction form
    292,284/438,466.50 = 438,466.50/x
  3. Step 3: Cross multiply
    292,284x = 438,466.50 × 438,466.50
  4. Step 4: Simplify right side
    292,284x = 192,252,871,622.25
  5. Step 5: Solve for x
    x = 192,252,871,622.25/292,284
  6. Step 6: Final answer
    x = 657,760.51

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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.