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Finding the Third Proportional to 292,392 and 640,623

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Solution

The third proportional to 292,392 and 640,623 is: 1,403,587.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,392 : 640,623 = 640,623 : x
  2. Step 2: Convert to fraction form
    292,392/640,623 = 640,623/x
  3. Step 3: Cross multiply
    292,392x = 640,623 × 640,623
  4. Step 4: Simplify right side
    292,392x = 410,397,828,129
  5. Step 5: Solve for x
    x = 410,397,828,129/292,392
  6. Step 6: Final answer
    x = 1,403,587.75

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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.