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Finding the Third Proportional to 975,987.98 and 1,458,241.10

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Solution

The third proportional to 975,987.98 and 1,458,241.10 is: 2,178,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,987.98 : 1,458,241.10 = 1,458,241.10 : x
  2. Step 2: Convert to fraction form
    975,987.98/1,458,241.10 = 1,458,241.10/x
  3. Step 3: Cross multiply
    975,987.98x = 1,458,241.10 × 1,458,241.10
  4. Step 4: Simplify right side
    975,987.98x = 2,126,467,110,286.21
  5. Step 5: Solve for x
    x = 2,126,467,110,286.21/975,987.98
  6. Step 6: Final answer
    x = 2,178,784.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.