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Finding the Third Proportional to 291,370 and 623,258

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Solution

The third proportional to 291,370 and 623,258 is: 1,333,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,370 : 623,258 = 623,258 : x
  2. Step 2: Convert to fraction form
    291,370/623,258 = 623,258/x
  3. Step 3: Cross multiply
    291,370x = 623,258 × 623,258
  4. Step 4: Simplify right side
    291,370x = 388,450,534,564
  5. Step 5: Solve for x
    x = 388,450,534,564/291,370
  6. Step 6: Final answer
    x = 1,333,186.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.