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Finding the Third Proportional to 45,389 and 70,442

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Solution

The third proportional to 45,389 and 70,442 is: 109,323.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,389 : 70,442 = 70,442 : x
  2. Step 2: Convert to fraction form
    45,389/70,442 = 70,442/x
  3. Step 3: Cross multiply
    45,389x = 70,442 × 70,442
  4. Step 4: Simplify right side
    45,389x = 4,962,075,364
  5. Step 5: Solve for x
    x = 4,962,075,364/45,389
  6. Step 6: Final answer
    x = 109,323.30

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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.