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Finding the Third Proportional to 357,152 and 553,368

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Solution

The third proportional to 357,152 and 553,368 is: 857,383.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,152 : 553,368 = 553,368 : x
  2. Step 2: Convert to fraction form
    357,152/553,368 = 553,368/x
  3. Step 3: Cross multiply
    357,152x = 553,368 × 553,368
  4. Step 4: Simplify right side
    357,152x = 306,216,143,424
  5. Step 5: Solve for x
    x = 306,216,143,424/357,152
  6. Step 6: Final answer
    x = 857,383.25

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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.