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Finding the Third Proportional to 284,947 and 442,963.50

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Solution

The third proportional to 284,947 and 442,963.50 is: 688,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,947 : 442,963.50 = 442,963.50 : x
  2. Step 2: Convert to fraction form
    284,947/442,963.50 = 442,963.50/x
  3. Step 3: Cross multiply
    284,947x = 442,963.50 × 442,963.50
  4. Step 4: Simplify right side
    284,947x = 196,216,662,332.25
  5. Step 5: Solve for x
    x = 196,216,662,332.25/284,947
  6. Step 6: Final answer
    x = 688,607.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.