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Finding the Third Proportional to 213,402 and 304,971

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Solution

The third proportional to 213,402 and 304,971 is: 435,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,402 : 304,971 = 304,971 : x
  2. Step 2: Convert to fraction form
    213,402/304,971 = 304,971/x
  3. Step 3: Cross multiply
    213,402x = 304,971 × 304,971
  4. Step 4: Simplify right side
    213,402x = 93,007,310,841
  5. Step 5: Solve for x
    x = 93,007,310,841/213,402
  6. Step 6: Final answer
    x = 435,831.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.