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Finding the Third Proportional to 418,362 and 861,492

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Solution

The third proportional to 418,362 and 861,492 is: 1,773,986.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,362 : 861,492 = 861,492 : x
  2. Step 2: Convert to fraction form
    418,362/861,492 = 861,492/x
  3. Step 3: Cross multiply
    418,362x = 861,492 × 861,492
  4. Step 4: Simplify right side
    418,362x = 742,168,466,064
  5. Step 5: Solve for x
    x = 742,168,466,064/418,362
  6. Step 6: Final answer
    x = 1,773,986.32

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.