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Finding the Third Proportional to 369,238 and 553,242

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Solution

The third proportional to 369,238 and 553,242 is: 828,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,238 : 553,242 = 553,242 : x
  2. Step 2: Convert to fraction form
    369,238/553,242 = 553,242/x
  3. Step 3: Cross multiply
    369,238x = 553,242 × 553,242
  4. Step 4: Simplify right side
    369,238x = 306,076,710,564
  5. Step 5: Solve for x
    x = 306,076,710,564/369,238
  6. Step 6: Final answer
    x = 828,941.52

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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.