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Finding the Third Proportional to 287,187 and 626,597

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Solution

The third proportional to 287,187 and 626,597 is: 1,367,136.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,187 : 626,597 = 626,597 : x
  2. Step 2: Convert to fraction form
    287,187/626,597 = 626,597/x
  3. Step 3: Cross multiply
    287,187x = 626,597 × 626,597
  4. Step 4: Simplify right side
    287,187x = 392,623,800,409
  5. Step 5: Solve for x
    x = 392,623,800,409/287,187
  6. Step 6: Final answer
    x = 1,367,136.40

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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.