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Finding the Third Proportional to 288,300 and 431,298

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Solution

The third proportional to 288,300 and 431,298 is: 645,223.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,300 : 431,298 = 431,298 : x
  2. Step 2: Convert to fraction form
    288,300/431,298 = 431,298/x
  3. Step 3: Cross multiply
    288,300x = 431,298 × 431,298
  4. Step 4: Simplify right side
    288,300x = 186,017,964,804
  5. Step 5: Solve for x
    x = 186,017,964,804/288,300
  6. Step 6: Final answer
    x = 645,223.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.