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Finding the Third Proportional to 238,278 and 349,641

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Solution

The third proportional to 238,278 and 349,641 is: 513,051.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,278 : 349,641 = 349,641 : x
  2. Step 2: Convert to fraction form
    238,278/349,641 = 349,641/x
  3. Step 3: Cross multiply
    238,278x = 349,641 × 349,641
  4. Step 4: Simplify right side
    238,278x = 122,248,828,881
  5. Step 5: Solve for x
    x = 122,248,828,881/238,278
  6. Step 6: Final answer
    x = 513,051.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.