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Finding the Third Proportional to 194,726,389.50 and 278,440,650

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Solution

The third proportional to 194,726,389.50 and 278,440,650 is: 398,144,266.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,726,389.50 : 278,440,650 = 278,440,650 : x
  2. Step 2: Convert to fraction form
    194,726,389.50/278,440,650 = 278,440,650/x
  3. Step 3: Cross multiply
    194,726,389.50x = 278,440,650 × 278,440,650
  4. Step 4: Simplify right side
    194,726,389.50x = 77,529,195,572,422,496
  5. Step 5: Solve for x
    x = 77,529,195,572,422,496/194,726,389.50
  6. Step 6: Final answer
    x = 398,144,266.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.