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Finding the Third Proportional to 370,398 and 553,158

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Solution

The third proportional to 370,398 and 553,158 is: 826,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,398 : 553,158 = 553,158 : x
  2. Step 2: Convert to fraction form
    370,398/553,158 = 553,158/x
  3. Step 3: Cross multiply
    370,398x = 553,158 × 553,158
  4. Step 4: Simplify right side
    370,398x = 305,983,772,964
  5. Step 5: Solve for x
    x = 305,983,772,964/370,398
  6. Step 6: Final answer
    x = 826,094.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.