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Finding the Third Proportional to 145,402 and 213,303

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Solution

The third proportional to 145,402 and 213,303 is: 312,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,402 : 213,303 = 213,303 : x
  2. Step 2: Convert to fraction form
    145,402/213,303 = 213,303/x
  3. Step 3: Cross multiply
    145,402x = 213,303 × 213,303
  4. Step 4: Simplify right side
    145,402x = 45,498,169,809
  5. Step 5: Solve for x
    x = 45,498,169,809/145,402
  6. Step 6: Final answer
    x = 312,912.96

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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.