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Finding the Third Proportional to 400,362.75 and 470,947.50

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Solution

The third proportional to 400,362.75 and 470,947.50 is: 553,976.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,362.75 : 470,947.50 = 470,947.50 : x
  2. Step 2: Convert to fraction form
    400,362.75/470,947.50 = 470,947.50/x
  3. Step 3: Cross multiply
    400,362.75x = 470,947.50 × 470,947.50
  4. Step 4: Simplify right side
    400,362.75x = 221,791,547,756.25
  5. Step 5: Solve for x
    x = 221,791,547,756.25/400,362.75
  6. Step 6: Final answer
    x = 553,976.48

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.