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Finding the Third Proportional to 371,839 and 805,502

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Solution

The third proportional to 371,839 and 805,502 is: 1,744,931.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,839 : 805,502 = 805,502 : x
  2. Step 2: Convert to fraction form
    371,839/805,502 = 805,502/x
  3. Step 3: Cross multiply
    371,839x = 805,502 × 805,502
  4. Step 4: Simplify right side
    371,839x = 648,833,472,004
  5. Step 5: Solve for x
    x = 648,833,472,004/371,839
  6. Step 6: Final answer
    x = 1,744,931.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.