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Finding the Third Proportional to 309,578 and 632,275.75

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Solution

The third proportional to 309,578 and 632,275.75 is: 1,291,347.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,578 : 632,275.75 = 632,275.75 : x
  2. Step 2: Convert to fraction form
    309,578/632,275.75 = 632,275.75/x
  3. Step 3: Cross multiply
    309,578x = 632,275.75 × 632,275.75
  4. Step 4: Simplify right side
    309,578x = 399,772,624,038.06
  5. Step 5: Solve for x
    x = 399,772,624,038.06/309,578
  6. Step 6: Final answer
    x = 1,291,347.01

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.