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Finding the Third Proportional to 150,840 and 312,117

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Solution

The third proportional to 150,840 and 312,117 is: 645,830.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,840 : 312,117 = 312,117 : x
  2. Step 2: Convert to fraction form
    150,840/312,117 = 312,117/x
  3. Step 3: Cross multiply
    150,840x = 312,117 × 312,117
  4. Step 4: Simplify right side
    150,840x = 97,417,021,689
  5. Step 5: Solve for x
    x = 97,417,021,689/150,840
  6. Step 6: Final answer
    x = 645,830.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.