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Finding the Third Proportional to 45,402 and 70,465

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Solution

The third proportional to 45,402 and 70,465 is: 109,363.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,402 : 70,465 = 70,465 : x
  2. Step 2: Convert to fraction form
    45,402/70,465 = 70,465/x
  3. Step 3: Cross multiply
    45,402x = 70,465 × 70,465
  4. Step 4: Simplify right side
    45,402x = 4,965,316,225
  5. Step 5: Solve for x
    x = 4,965,316,225/45,402
  6. Step 6: Final answer
    x = 109,363.38

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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.