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Finding the Third Proportional to 137,415 and 291,678

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Solution

The third proportional to 137,415 and 291,678 is: 619,117.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415 : 291,678 = 291,678 : x
  2. Step 2: Convert to fraction form
    137,415/291,678 = 291,678/x
  3. Step 3: Cross multiply
    137,415x = 291,678 × 291,678
  4. Step 4: Simplify right side
    137,415x = 85,076,055,684
  5. Step 5: Solve for x
    x = 85,076,055,684/137,415
  6. Step 6: Final answer
    x = 619,117.68

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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.