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Finding the Third Proportional to 346,653 and 726,840

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Solution

The third proportional to 346,653 and 726,840 is: 1,523,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,653 : 726,840 = 726,840 : x
  2. Step 2: Convert to fraction form
    346,653/726,840 = 726,840/x
  3. Step 3: Cross multiply
    346,653x = 726,840 × 726,840
  4. Step 4: Simplify right side
    346,653x = 528,296,385,600
  5. Step 5: Solve for x
    x = 528,296,385,600/346,653
  6. Step 6: Final answer
    x = 1,523,991.96

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.