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Finding the Third Proportional to 455,543 and 707,190

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Solution

The third proportional to 455,543 and 707,190 is: 1,097,849.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,543 : 707,190 = 707,190 : x
  2. Step 2: Convert to fraction form
    455,543/707,190 = 707,190/x
  3. Step 3: Cross multiply
    455,543x = 707,190 × 707,190
  4. Step 4: Simplify right side
    455,543x = 500,117,696,100
  5. Step 5: Solve for x
    x = 500,117,696,100/455,543
  6. Step 6: Final answer
    x = 1,097,849.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.