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Finding the Third Proportional to 510,057 and 787,030

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Solution

The third proportional to 510,057 and 787,030 is: 1,214,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,057 : 787,030 = 787,030 : x
  2. Step 2: Convert to fraction form
    510,057/787,030 = 787,030/x
  3. Step 3: Cross multiply
    510,057x = 787,030 × 787,030
  4. Step 4: Simplify right side
    510,057x = 619,416,220,900
  5. Step 5: Solve for x
    x = 619,416,220,900/510,057
  6. Step 6: Final answer
    x = 1,214,405.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.