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Finding the Third Proportional to 318,894 and 493,746

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Solution

The third proportional to 318,894 and 493,746 is: 764,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,894 : 493,746 = 493,746 : x
  2. Step 2: Convert to fraction form
    318,894/493,746 = 493,746/x
  3. Step 3: Cross multiply
    318,894x = 493,746 × 493,746
  4. Step 4: Simplify right side
    318,894x = 243,785,112,516
  5. Step 5: Solve for x
    x = 243,785,112,516/318,894
  6. Step 6: Final answer
    x = 764,470.68

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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.