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Finding the Third Proportional to 319,930 and 700,124

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Solution

The third proportional to 319,930 and 700,124 is: 1,532,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,930 : 700,124 = 700,124 : x
  2. Step 2: Convert to fraction form
    319,930/700,124 = 700,124/x
  3. Step 3: Cross multiply
    319,930x = 700,124 × 700,124
  4. Step 4: Simplify right side
    319,930x = 490,173,615,376
  5. Step 5: Solve for x
    x = 490,173,615,376/319,930
  6. Step 6: Final answer
    x = 1,532,127.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.