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Finding the Third Proportional to 489,796 and 756,534

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Solution

The third proportional to 489,796 and 756,534 is: 1,168,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,796 : 756,534 = 756,534 : x
  2. Step 2: Convert to fraction form
    489,796/756,534 = 756,534/x
  3. Step 3: Cross multiply
    489,796x = 756,534 × 756,534
  4. Step 4: Simplify right side
    489,796x = 572,343,693,156
  5. Step 5: Solve for x
    x = 572,343,693,156/489,796
  6. Step 6: Final answer
    x = 1,168,534.85

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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.