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Finding the Third Proportional to 287,520 and 623,910

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Solution

The third proportional to 287,520 and 623,910 is: 1,353,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,520 : 623,910 = 623,910 : x
  2. Step 2: Convert to fraction form
    287,520/623,910 = 623,910/x
  3. Step 3: Cross multiply
    287,520x = 623,910 × 623,910
  4. Step 4: Simplify right side
    287,520x = 389,263,688,100
  5. Step 5: Solve for x
    x = 389,263,688,100/287,520
  6. Step 6: Final answer
    x = 1,353,866.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.