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Finding the Third Proportional to 592,489 and 962,497.50

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Solution

The third proportional to 592,489 and 962,497.50 is: 1,563,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,489 : 962,497.50 = 962,497.50 : x
  2. Step 2: Convert to fraction form
    592,489/962,497.50 = 962,497.50/x
  3. Step 3: Cross multiply
    592,489x = 962,497.50 × 962,497.50
  4. Step 4: Simplify right side
    592,489x = 926,401,437,506.25
  5. Step 5: Solve for x
    x = 926,401,437,506.25/592,489
  6. Step 6: Final answer
    x = 1,563,575.76

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.