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Finding the Third Proportional to 287,000.50 and 626,455.50

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Solution

The third proportional to 287,000.50 and 626,455.50 is: 1,367,407.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,000.50 : 626,455.50 = 626,455.50 : x
  2. Step 2: Convert to fraction form
    287,000.50/626,455.50 = 626,455.50/x
  3. Step 3: Cross multiply
    287,000.50x = 626,455.50 × 626,455.50
  4. Step 4: Simplify right side
    287,000.50x = 392,446,493,480.25
  5. Step 5: Solve for x
    x = 392,446,493,480.25/287,000.50
  6. Step 6: Final answer
    x = 1,367,407.00

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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.