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Finding the Third Proportional to 519,648 and 761,040

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Solution

The third proportional to 519,648 and 761,040 is: 1,114,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,648 : 761,040 = 761,040 : x
  2. Step 2: Convert to fraction form
    519,648/761,040 = 761,040/x
  3. Step 3: Cross multiply
    519,648x = 761,040 × 761,040
  4. Step 4: Simplify right side
    519,648x = 579,181,881,600
  5. Step 5: Solve for x
    x = 579,181,881,600/519,648
  6. Step 6: Final answer
    x = 1,114,565.79

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.