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Finding the Third Proportional to 640,174 and 1,398,464

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Solution

The third proportional to 640,174 and 1,398,464 is: 3,054,953.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,174 : 1,398,464 = 1,398,464 : x
  2. Step 2: Convert to fraction form
    640,174/1,398,464 = 1,398,464/x
  3. Step 3: Cross multiply
    640,174x = 1,398,464 × 1,398,464
  4. Step 4: Simplify right side
    640,174x = 1,955,701,559,296
  5. Step 5: Solve for x
    x = 1,955,701,559,296/640,174
  6. Step 6: Final answer
    x = 3,054,953.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.