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Finding the Third Proportional to 357,183 and 553,527

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Solution

The third proportional to 357,183 and 553,527 is: 857,801.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,183 : 553,527 = 553,527 : x
  2. Step 2: Convert to fraction form
    357,183/553,527 = 553,527/x
  3. Step 3: Cross multiply
    357,183x = 553,527 × 553,527
  4. Step 4: Simplify right side
    357,183x = 306,392,139,729
  5. Step 5: Solve for x
    x = 306,392,139,729/357,183
  6. Step 6: Final answer
    x = 857,801.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.