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Finding the Third Proportional to 328,258 and 706,736

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Solution

The third proportional to 328,258 and 706,736 is: 1,521,595.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,258 : 706,736 = 706,736 : x
  2. Step 2: Convert to fraction form
    328,258/706,736 = 706,736/x
  3. Step 3: Cross multiply
    328,258x = 706,736 × 706,736
  4. Step 4: Simplify right side
    328,258x = 499,475,773,696
  5. Step 5: Solve for x
    x = 499,475,773,696/328,258
  6. Step 6: Final answer
    x = 1,521,595.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.