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Finding the Third Proportional to 357,686 and 530,376

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Solution

The third proportional to 357,686 and 530,376 is: 786,440.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,686 : 530,376 = 530,376 : x
  2. Step 2: Convert to fraction form
    357,686/530,376 = 530,376/x
  3. Step 3: Cross multiply
    357,686x = 530,376 × 530,376
  4. Step 4: Simplify right side
    357,686x = 281,298,701,376
  5. Step 5: Solve for x
    x = 281,298,701,376/357,686
  6. Step 6: Final answer
    x = 786,440.35

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