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Finding the Third Proportional to 287,005 and 626,464

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Solution

The third proportional to 287,005 and 626,464 is: 1,367,422.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,005 : 626,464 = 626,464 : x
  2. Step 2: Convert to fraction form
    287,005/626,464 = 626,464/x
  3. Step 3: Cross multiply
    287,005x = 626,464 × 626,464
  4. Step 4: Simplify right side
    287,005x = 392,457,143,296
  5. Step 5: Solve for x
    x = 392,457,143,296/287,005
  6. Step 6: Final answer
    x = 1,367,422.67

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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.