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Finding the Third Proportional to 920,729 and 1,395,309

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Solution

The third proportional to 920,729 and 1,395,309 is: 2,114,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,729 : 1,395,309 = 1,395,309 : x
  2. Step 2: Convert to fraction form
    920,729/1,395,309 = 1,395,309/x
  3. Step 3: Cross multiply
    920,729x = 1,395,309 × 1,395,309
  4. Step 4: Simplify right side
    920,729x = 1,946,887,205,481
  5. Step 5: Solve for x
    x = 1,946,887,205,481/920,729
  6. Step 6: Final answer
    x = 2,114,506.23

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.