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Finding the Third Proportional to 290,274,999 and 626,726,442

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Solution

The third proportional to 290,274,999 and 626,726,442 is: 1,353,151,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,274,999 : 626,726,442 = 626,726,442 : x
  2. Step 2: Convert to fraction form
    290,274,999/626,726,442 = 626,726,442/x
  3. Step 3: Cross multiply
    290,274,999x = 626,726,442 × 626,726,442
  4. Step 4: Simplify right side
    290,274,999x = 392,786,033,101,979,392
  5. Step 5: Solve for x
    x = 392,786,033,101,979,392/290,274,999
  6. Step 6: Final answer
    x = 1,353,151,440.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.