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Finding the Third Proportional to 623,140 and 1,355,628

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Solution

The third proportional to 623,140 and 1,355,628 is: 2,949,140.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,140 : 1,355,628 = 1,355,628 : x
  2. Step 2: Convert to fraction form
    623,140/1,355,628 = 1,355,628/x
  3. Step 3: Cross multiply
    623,140x = 1,355,628 × 1,355,628
  4. Step 4: Simplify right side
    623,140x = 1,837,727,274,384
  5. Step 5: Solve for x
    x = 1,837,727,274,384/623,140
  6. Step 6: Final answer
    x = 2,949,140.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.