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Finding the Third Proportional to 282,738 and 415,623

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Solution

The third proportional to 282,738 and 415,623 is: 610,963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,738 : 415,623 = 415,623 : x
  2. Step 2: Convert to fraction form
    282,738/415,623 = 415,623/x
  3. Step 3: Cross multiply
    282,738x = 415,623 × 415,623
  4. Step 4: Simplify right side
    282,738x = 172,742,478,129
  5. Step 5: Solve for x
    x = 172,742,478,129/282,738
  6. Step 6: Final answer
    x = 610,963.08

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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.