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Finding the Third Proportional to 10,402,114.50 and 13,802,420.25

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Solution

The third proportional to 10,402,114.50 and 13,802,420.25 is: 18,314,238.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402,114.50 : 13,802,420.25 = 13,802,420.25 : x
  2. Step 2: Convert to fraction form
    10,402,114.50/13,802,420.25 = 13,802,420.25/x
  3. Step 3: Cross multiply
    10,402,114.50x = 13,802,420.25 × 13,802,420.25
  4. Step 4: Simplify right side
    10,402,114.50x = 190,506,804,757,610.06
  5. Step 5: Solve for x
    x = 190,506,804,757,610.06/10,402,114.50
  6. Step 6: Final answer
    x = 18,314,238.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.