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Finding the Third Proportional to 148,536 and 312,624

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Solution

The third proportional to 148,536 and 312,624 is: 657,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,536 : 312,624 = 312,624 : x
  2. Step 2: Convert to fraction form
    148,536/312,624 = 312,624/x
  3. Step 3: Cross multiply
    148,536x = 312,624 × 312,624
  4. Step 4: Simplify right side
    148,536x = 97,733,765,376
  5. Step 5: Solve for x
    x = 97,733,765,376/148,536
  6. Step 6: Final answer
    x = 657,980.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.