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Finding the Third Proportional to 294,510 and 640,572

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Solution

The third proportional to 294,510 and 640,572 is: 1,393,271.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,510 : 640,572 = 640,572 : x
  2. Step 2: Convert to fraction form
    294,510/640,572 = 640,572/x
  3. Step 3: Cross multiply
    294,510x = 640,572 × 640,572
  4. Step 4: Simplify right side
    294,510x = 410,332,487,184
  5. Step 5: Solve for x
    x = 410,332,487,184/294,510
  6. Step 6: Final answer
    x = 1,393,271.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.