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Finding the Third Proportional to 292,640 and 432,768

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Solution

The third proportional to 292,640 and 432,768 is: 639,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,640 : 432,768 = 432,768 : x
  2. Step 2: Convert to fraction form
    292,640/432,768 = 432,768/x
  3. Step 3: Cross multiply
    292,640x = 432,768 × 432,768
  4. Step 4: Simplify right side
    292,640x = 187,288,141,824
  5. Step 5: Solve for x
    x = 187,288,141,824/292,640
  6. Step 6: Final answer
    x = 639,995.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.