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Finding the Third Proportional to 646,488 and 869,640

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Solution

The third proportional to 646,488 and 869,640 is: 1,169,818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,488 : 869,640 = 869,640 : x
  2. Step 2: Convert to fraction form
    646,488/869,640 = 869,640/x
  3. Step 3: Cross multiply
    646,488x = 869,640 × 869,640
  4. Step 4: Simplify right side
    646,488x = 756,273,729,600
  5. Step 5: Solve for x
    x = 756,273,729,600/646,488
  6. Step 6: Final answer
    x = 1,169,818.67

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.