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Finding the Third Proportional to 678,818.81 and 1,006,479.84

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Solution

The third proportional to 678,818.81 and 1,006,479.84 is: 1,492,300.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,818.81 : 1,006,479.84 = 1,006,479.84 : x
  2. Step 2: Convert to fraction form
    678,818.81/1,006,479.84 = 1,006,479.84/x
  3. Step 3: Cross multiply
    678,818.81x = 1,006,479.84 × 1,006,479.84
  4. Step 4: Simplify right side
    678,818.81x = 1,013,001,675,875.02
  5. Step 5: Solve for x
    x = 1,013,001,675,875.02/678,818.81
  6. Step 6: Final answer
    x = 1,492,300.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.