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Finding the Third Proportional to 489,924 and 745,612

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Solution

The third proportional to 489,924 and 745,612 is: 1,134,741.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,924 : 745,612 = 745,612 : x
  2. Step 2: Convert to fraction form
    489,924/745,612 = 745,612/x
  3. Step 3: Cross multiply
    489,924x = 745,612 × 745,612
  4. Step 4: Simplify right side
    489,924x = 555,937,254,544
  5. Step 5: Solve for x
    x = 555,937,254,544/489,924
  6. Step 6: Final answer
    x = 1,134,741.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.