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Finding the Third Proportional to 287,820 and 431,765

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Solution

The third proportional to 287,820 and 431,765 is: 647,700.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,820 : 431,765 = 431,765 : x
  2. Step 2: Convert to fraction form
    287,820/431,765 = 431,765/x
  3. Step 3: Cross multiply
    287,820x = 431,765 × 431,765
  4. Step 4: Simplify right side
    287,820x = 186,421,015,225
  5. Step 5: Solve for x
    x = 186,421,015,225/287,820
  6. Step 6: Final answer
    x = 647,700.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.