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Finding the Third Proportional to 298,628,088 and 621,094,470

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Solution

The third proportional to 298,628,088 and 621,094,470 is: 1,291,768,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,628,088 : 621,094,470 = 621,094,470 : x
  2. Step 2: Convert to fraction form
    298,628,088/621,094,470 = 621,094,470/x
  3. Step 3: Cross multiply
    298,628,088x = 621,094,470 × 621,094,470
  4. Step 4: Simplify right side
    298,628,088x = 385,758,340,664,580,928
  5. Step 5: Solve for x
    x = 385,758,340,664,580,928/298,628,088
  6. Step 6: Final answer
    x = 1,291,768,444.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.