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Finding the Third Proportional to 288,705,397.50 and 622,480,491

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Solution

The third proportional to 288,705,397.50 and 622,480,491 is: 1,342,136,188.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,705,397.50 : 622,480,491 = 622,480,491 : x
  2. Step 2: Convert to fraction form
    288,705,397.50/622,480,491 = 622,480,491/x
  3. Step 3: Cross multiply
    288,705,397.50x = 622,480,491 × 622,480,491
  4. Step 4: Simplify right side
    288,705,397.50x = 387,481,961,675,601,088
  5. Step 5: Solve for x
    x = 387,481,961,675,601,088/288,705,397.50
  6. Step 6: Final answer
    x = 1,342,136,188.07

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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.