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Finding the Third Proportional to 358,802.50 and 578,119

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Solution

The third proportional to 358,802.50 and 578,119 is: 931,491.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,802.50 : 578,119 = 578,119 : x
  2. Step 2: Convert to fraction form
    358,802.50/578,119 = 578,119/x
  3. Step 3: Cross multiply
    358,802.50x = 578,119 × 578,119
  4. Step 4: Simplify right side
    358,802.50x = 334,221,578,161
  5. Step 5: Solve for x
    x = 334,221,578,161/358,802.50
  6. Step 6: Final answer
    x = 931,491.78

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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.