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Finding the Third Proportional to 357,480 and 500,011

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Solution

The third proportional to 357,480 and 500,011 is: 699,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,480 : 500,011 = 500,011 : x
  2. Step 2: Convert to fraction form
    357,480/500,011 = 500,011/x
  3. Step 3: Cross multiply
    357,480x = 500,011 × 500,011
  4. Step 4: Simplify right side
    357,480x = 250,011,000,121
  5. Step 5: Solve for x
    x = 250,011,000,121/357,480
  6. Step 6: Final answer
    x = 699,370.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.