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Finding the Third Proportional to 368,502 and 781,291

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Solution

The third proportional to 368,502 and 781,291 is: 1,656,478.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,502 : 781,291 = 781,291 : x
  2. Step 2: Convert to fraction form
    368,502/781,291 = 781,291/x
  3. Step 3: Cross multiply
    368,502x = 781,291 × 781,291
  4. Step 4: Simplify right side
    368,502x = 610,415,626,681
  5. Step 5: Solve for x
    x = 610,415,626,681/368,502
  6. Step 6: Final answer
    x = 1,656,478.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.