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Finding the Third Proportional to 684,306 and 1,000,455

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Solution

The third proportional to 684,306 and 1,000,455 is: 1,462,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,306 : 1,000,455 = 1,000,455 : x
  2. Step 2: Convert to fraction form
    684,306/1,000,455 = 1,000,455/x
  3. Step 3: Cross multiply
    684,306x = 1,000,455 × 1,000,455
  4. Step 4: Simplify right side
    684,306x = 1,000,910,207,025
  5. Step 5: Solve for x
    x = 1,000,910,207,025/684,306
  6. Step 6: Final answer
    x = 1,462,664.67

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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.