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Finding the Third Proportional to 361,618 and 786,658

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Solution

The third proportional to 361,618 and 786,658 is: 1,711,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,618 : 786,658 = 786,658 : x
  2. Step 2: Convert to fraction form
    361,618/786,658 = 786,658/x
  3. Step 3: Cross multiply
    361,618x = 786,658 × 786,658
  4. Step 4: Simplify right side
    361,618x = 618,830,808,964
  5. Step 5: Solve for x
    x = 618,830,808,964/361,618
  6. Step 6: Final answer
    x = 1,711,283.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.