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Finding the Third Proportional to 301,710 and 624,288

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Solution

The third proportional to 301,710 and 624,288 is: 1,291,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,710 : 624,288 = 624,288 : x
  2. Step 2: Convert to fraction form
    301,710/624,288 = 624,288/x
  3. Step 3: Cross multiply
    301,710x = 624,288 × 624,288
  4. Step 4: Simplify right side
    301,710x = 389,735,506,944
  5. Step 5: Solve for x
    x = 389,735,506,944/301,710
  6. Step 6: Final answer
    x = 1,291,755.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.