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Finding the Third Proportional to 587,156 and 899,688

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Solution

The third proportional to 587,156 and 899,688 is: 1,378,574.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,156 : 899,688 = 899,688 : x
  2. Step 2: Convert to fraction form
    587,156/899,688 = 899,688/x
  3. Step 3: Cross multiply
    587,156x = 899,688 × 899,688
  4. Step 4: Simplify right side
    587,156x = 809,438,497,344
  5. Step 5: Solve for x
    x = 809,438,497,344/587,156
  6. Step 6: Final answer
    x = 1,378,574.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.