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Finding the Third Proportional to 426,303 and 643,881.75

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Solution

The third proportional to 426,303 and 643,881.75 is: 972,509.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,303 : 643,881.75 = 643,881.75 : x
  2. Step 2: Convert to fraction form
    426,303/643,881.75 = 643,881.75/x
  3. Step 3: Cross multiply
    426,303x = 643,881.75 × 643,881.75
  4. Step 4: Simplify right side
    426,303x = 414,583,707,983.06
  5. Step 5: Solve for x
    x = 414,583,707,983.06/426,303
  6. Step 6: Final answer
    x = 972,509.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.