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Finding the Third Proportional to 788,400 and 1,213,488

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Solution

The third proportional to 788,400 and 1,213,488 is: 1,867,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,400 : 1,213,488 = 1,213,488 : x
  2. Step 2: Convert to fraction form
    788,400/1,213,488 = 1,213,488/x
  3. Step 3: Cross multiply
    788,400x = 1,213,488 × 1,213,488
  4. Step 4: Simplify right side
    788,400x = 1,472,553,126,144
  5. Step 5: Solve for x
    x = 1,472,553,126,144/788,400
  6. Step 6: Final answer
    x = 1,867,774.13

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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.