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Finding the Third Proportional to 423,315 and 655,731

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Solution

The third proportional to 423,315 and 655,731 is: 1,015,752.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,315 : 655,731 = 655,731 : x
  2. Step 2: Convert to fraction form
    423,315/655,731 = 655,731/x
  3. Step 3: Cross multiply
    423,315x = 655,731 × 655,731
  4. Step 4: Simplify right side
    423,315x = 429,983,144,361
  5. Step 5: Solve for x
    x = 429,983,144,361/423,315
  6. Step 6: Final answer
    x = 1,015,752.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.