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Finding the Third Proportional to 151,516 and 312,752

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Solution

The third proportional to 151,516 and 312,752 is: 645,567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,516 : 312,752 = 312,752 : x
  2. Step 2: Convert to fraction form
    151,516/312,752 = 312,752/x
  3. Step 3: Cross multiply
    151,516x = 312,752 × 312,752
  4. Step 4: Simplify right side
    151,516x = 97,813,813,504
  5. Step 5: Solve for x
    x = 97,813,813,504/151,516
  6. Step 6: Final answer
    x = 645,567.55

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.