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Finding the Third Proportional to 288,580 and 626,446

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Solution

The third proportional to 288,580 and 626,446 is: 1,359,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,580 : 626,446 = 626,446 : x
  2. Step 2: Convert to fraction form
    288,580/626,446 = 626,446/x
  3. Step 3: Cross multiply
    288,580x = 626,446 × 626,446
  4. Step 4: Simplify right side
    288,580x = 392,434,590,916
  5. Step 5: Solve for x
    x = 392,434,590,916/288,580
  6. Step 6: Final answer
    x = 1,359,881.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.