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Finding the Third Proportional to 300,754,285.88 and 478,559,076.75

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Solution

The third proportional to 300,754,285.88 and 478,559,076.75 is: 761,481,384.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,754,285.88 : 478,559,076.75 = 478,559,076.75 : x
  2. Step 2: Convert to fraction form
    300,754,285.88/478,559,076.75 = 478,559,076.75/x
  3. Step 3: Cross multiply
    300,754,285.88x = 478,559,076.75 × 478,559,076.75
  4. Step 4: Simplify right side
    300,754,285.88x = 229,018,789,939,812,384
  5. Step 5: Solve for x
    x = 229,018,789,939,812,384/300,754,285.88
  6. Step 6: Final answer
    x = 761,481,384.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.