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Finding the Third Proportional to 239,643 and 375,921

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Solution

The third proportional to 239,643 and 375,921 is: 589,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,643 : 375,921 = 375,921 : x
  2. Step 2: Convert to fraction form
    239,643/375,921 = 375,921/x
  3. Step 3: Cross multiply
    239,643x = 375,921 × 375,921
  4. Step 4: Simplify right side
    239,643x = 141,316,598,241
  5. Step 5: Solve for x
    x = 141,316,598,241/239,643
  6. Step 6: Final answer
    x = 589,696.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.