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Finding the Third Proportional to 620,913 and 910,920

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Solution

The third proportional to 620,913 and 910,920 is: 1,336,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,913 : 910,920 = 910,920 : x
  2. Step 2: Convert to fraction form
    620,913/910,920 = 910,920/x
  3. Step 3: Cross multiply
    620,913x = 910,920 × 910,920
  4. Step 4: Simplify right side
    620,913x = 829,775,246,400
  5. Step 5: Solve for x
    x = 829,775,246,400/620,913
  6. Step 6: Final answer
    x = 1,336,379.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.