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Finding the Third Proportional to 432,592 and 578,657

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Solution

The third proportional to 432,592 and 578,657 is: 774,040.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,592 : 578,657 = 578,657 : x
  2. Step 2: Convert to fraction form
    432,592/578,657 = 578,657/x
  3. Step 3: Cross multiply
    432,592x = 578,657 × 578,657
  4. Step 4: Simplify right side
    432,592x = 334,843,923,649
  5. Step 5: Solve for x
    x = 334,843,923,649/432,592
  6. Step 6: Final answer
    x = 774,040.95

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.