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Finding the Third Proportional to 358,803 and 578,120

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Solution

The third proportional to 358,803 and 578,120 is: 931,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,803 : 578,120 = 578,120 : x
  2. Step 2: Convert to fraction form
    358,803/578,120 = 578,120/x
  3. Step 3: Cross multiply
    358,803x = 578,120 × 578,120
  4. Step 4: Simplify right side
    358,803x = 334,222,734,400
  5. Step 5: Solve for x
    x = 334,222,734,400/358,803
  6. Step 6: Final answer
    x = 931,493.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.