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Finding the Third Proportional to 672,000 and 896,640

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Solution

The third proportional to 672,000 and 896,640 is: 1,196,373.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    672,000 : 896,640 = 896,640 : x
  2. Step 2: Convert to fraction form
    672,000/896,640 = 896,640/x
  3. Step 3: Cross multiply
    672,000x = 896,640 × 896,640
  4. Step 4: Simplify right side
    672,000x = 803,963,289,600
  5. Step 5: Solve for x
    x = 803,963,289,600/672,000
  6. Step 6: Final answer
    x = 1,196,373.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.