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Finding the Third Proportional to 142,402 and 303,209

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Solution

The third proportional to 142,402 and 303,209 is: 645,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,402 : 303,209 = 303,209 : x
  2. Step 2: Convert to fraction form
    142,402/303,209 = 303,209/x
  3. Step 3: Cross multiply
    142,402x = 303,209 × 303,209
  4. Step 4: Simplify right side
    142,402x = 91,935,697,681
  5. Step 5: Solve for x
    x = 91,935,697,681/142,402
  6. Step 6: Final answer
    x = 645,606.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.