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Finding the Third Proportional to 686,604 and 1,005,330

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Solution

The third proportional to 686,604 and 1,005,330 is: 1,472,010.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,604 : 1,005,330 = 1,005,330 : x
  2. Step 2: Convert to fraction form
    686,604/1,005,330 = 1,005,330/x
  3. Step 3: Cross multiply
    686,604x = 1,005,330 × 1,005,330
  4. Step 4: Simplify right side
    686,604x = 1,010,688,408,900
  5. Step 5: Solve for x
    x = 1,010,688,408,900/686,604
  6. Step 6: Final answer
    x = 1,472,010.66

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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.