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Finding the Third Proportional to 620,945 and 972,014

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Solution

The third proportional to 620,945 and 972,014 is: 1,521,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,945 : 972,014 = 972,014 : x
  2. Step 2: Convert to fraction form
    620,945/972,014 = 972,014/x
  3. Step 3: Cross multiply
    620,945x = 972,014 × 972,014
  4. Step 4: Simplify right side
    620,945x = 944,811,216,196
  5. Step 5: Solve for x
    x = 944,811,216,196/620,945
  6. Step 6: Final answer
    x = 1,521,569.89

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.