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Finding the Third Proportional to 426,489 and 912,024

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Solution

The third proportional to 426,489 and 912,024 is: 1,950,314.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,489 : 912,024 = 912,024 : x
  2. Step 2: Convert to fraction form
    426,489/912,024 = 912,024/x
  3. Step 3: Cross multiply
    426,489x = 912,024 × 912,024
  4. Step 4: Simplify right side
    426,489x = 831,787,776,576
  5. Step 5: Solve for x
    x = 831,787,776,576/426,489
  6. Step 6: Final answer
    x = 1,950,314.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.