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Finding the Third Proportional to 489,444 and 756,354

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Solution

The third proportional to 489,444 and 756,354 is: 1,168,818.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,444 : 756,354 = 756,354 : x
  2. Step 2: Convert to fraction form
    489,444/756,354 = 756,354/x
  3. Step 3: Cross multiply
    489,444x = 756,354 × 756,354
  4. Step 4: Simplify right side
    489,444x = 572,071,373,316
  5. Step 5: Solve for x
    x = 572,071,373,316/489,444
  6. Step 6: Final answer
    x = 1,168,818.85

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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.