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Finding the Third Proportional to 486,428 and 777,068

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Solution

The third proportional to 486,428 and 777,068 is: 1,241,364.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,428 : 777,068 = 777,068 : x
  2. Step 2: Convert to fraction form
    486,428/777,068 = 777,068/x
  3. Step 3: Cross multiply
    486,428x = 777,068 × 777,068
  4. Step 4: Simplify right side
    486,428x = 603,834,676,624
  5. Step 5: Solve for x
    x = 603,834,676,624/486,428
  6. Step 6: Final answer
    x = 1,241,364.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.