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Finding the Third Proportional to 286,216 and 420,572

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Solution

The third proportional to 286,216 and 420,572 is: 617,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,216 : 420,572 = 420,572 : x
  2. Step 2: Convert to fraction form
    286,216/420,572 = 420,572/x
  3. Step 3: Cross multiply
    286,216x = 420,572 × 420,572
  4. Step 4: Simplify right side
    286,216x = 176,880,807,184
  5. Step 5: Solve for x
    x = 176,880,807,184/286,216
  6. Step 6: Final answer
    x = 617,997.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.