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Finding the Third Proportional to 292,382 and 640,603

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Solution

The third proportional to 292,382 and 640,603 is: 1,403,548.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,382 : 640,603 = 640,603 : x
  2. Step 2: Convert to fraction form
    292,382/640,603 = 640,603/x
  3. Step 3: Cross multiply
    292,382x = 640,603 × 640,603
  4. Step 4: Simplify right side
    292,382x = 410,372,203,609
  5. Step 5: Solve for x
    x = 410,372,203,609/292,382
  6. Step 6: Final answer
    x = 1,403,548.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.