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Finding the Third Proportional to 311,761 and 456,537

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Solution

The third proportional to 311,761 and 456,537 is: 668,544.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,761 : 456,537 = 456,537 : x
  2. Step 2: Convert to fraction form
    311,761/456,537 = 456,537/x
  3. Step 3: Cross multiply
    311,761x = 456,537 × 456,537
  4. Step 4: Simplify right side
    311,761x = 208,426,032,369
  5. Step 5: Solve for x
    x = 208,426,032,369/311,761
  6. Step 6: Final answer
    x = 668,544.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.