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Finding the Third Proportional to 292,987.13 and 621,973.69

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Solution

The third proportional to 292,987.13 and 621,973.69 is: 1,320,369.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,987.13 : 621,973.69 = 621,973.69 : x
  2. Step 2: Convert to fraction form
    292,987.13/621,973.69 = 621,973.69/x
  3. Step 3: Cross multiply
    292,987.13x = 621,973.69 × 621,973.69
  4. Step 4: Simplify right side
    292,987.13x = 386,851,267,942.35
  5. Step 5: Solve for x
    x = 386,851,267,942.35/292,987.13
  6. Step 6: Final answer
    x = 1,320,369.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.