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Finding the Third Proportional to 369,944 and 553,903

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Solution

The third proportional to 369,944 and 553,903 is: 829,337.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,944 : 553,903 = 553,903 : x
  2. Step 2: Convert to fraction form
    369,944/553,903 = 553,903/x
  3. Step 3: Cross multiply
    369,944x = 553,903 × 553,903
  4. Step 4: Simplify right side
    369,944x = 306,808,533,409
  5. Step 5: Solve for x
    x = 306,808,533,409/369,944
  6. Step 6: Final answer
    x = 829,337.77

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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.