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Finding the Third Proportional to 213,330.38 and 470,947.50

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Solution

The third proportional to 213,330.38 and 470,947.50 is: 1,039,662.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,330.38 : 470,947.50 = 470,947.50 : x
  2. Step 2: Convert to fraction form
    213,330.38/470,947.50 = 470,947.50/x
  3. Step 3: Cross multiply
    213,330.38x = 470,947.50 × 470,947.50
  4. Step 4: Simplify right side
    213,330.38x = 221,791,547,756.25
  5. Step 5: Solve for x
    x = 221,791,547,756.25/213,330.38
  6. Step 6: Final answer
    x = 1,039,662.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.