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Finding the Third Proportional to 287,010 and 626,481

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Solution

The third proportional to 287,010 and 626,481 is: 1,367,473.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,010 : 626,481 = 626,481 : x
  2. Step 2: Convert to fraction form
    287,010/626,481 = 626,481/x
  3. Step 3: Cross multiply
    287,010x = 626,481 × 626,481
  4. Step 4: Simplify right side
    287,010x = 392,478,443,361
  5. Step 5: Solve for x
    x = 392,478,443,361/287,010
  6. Step 6: Final answer
    x = 1,367,473.06

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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.