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Finding the Third Proportional to 385,746 and 842,748

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Solution

The third proportional to 385,746 and 842,748 is: 1,841,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,746 : 842,748 = 842,748 : x
  2. Step 2: Convert to fraction form
    385,746/842,748 = 842,748/x
  3. Step 3: Cross multiply
    385,746x = 842,748 × 842,748
  4. Step 4: Simplify right side
    385,746x = 710,224,191,504
  5. Step 5: Solve for x
    x = 710,224,191,504/385,746
  6. Step 6: Final answer
    x = 1,841,170.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.