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Finding the Third Proportional to 454,482 and 711,387

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Solution

The third proportional to 454,482 and 711,387 is: 1,113,512.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,482 : 711,387 = 711,387 : x
  2. Step 2: Convert to fraction form
    454,482/711,387 = 711,387/x
  3. Step 3: Cross multiply
    454,482x = 711,387 × 711,387
  4. Step 4: Simplify right side
    454,482x = 506,071,463,769
  5. Step 5: Solve for x
    x = 506,071,463,769/454,482
  6. Step 6: Final answer
    x = 1,113,512.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.