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Finding the Third Proportional to 357,648 and 530,288

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Solution

The third proportional to 357,648 and 530,288 is: 786,262.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,648 : 530,288 = 530,288 : x
  2. Step 2: Convert to fraction form
    357,648/530,288 = 530,288/x
  3. Step 3: Cross multiply
    357,648x = 530,288 × 530,288
  4. Step 4: Simplify right side
    357,648x = 281,205,362,944
  5. Step 5: Solve for x
    x = 281,205,362,944/357,648
  6. Step 6: Final answer
    x = 786,262.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.