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Finding the Third Proportional to 358,396,348.78 and 781,938,506.81

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Solution

The third proportional to 358,396,348.78 and 781,938,506.81 is: 1,706,010,204.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,396,348.78 : 781,938,506.81 = 781,938,506.81 : x
  2. Step 2: Convert to fraction form
    358,396,348.78/781,938,506.81 = 781,938,506.81/x
  3. Step 3: Cross multiply
    358,396,348.78x = 781,938,506.81 × 781,938,506.81
  4. Step 4: Simplify right side
    358,396,348.78x = 611,427,828,436,162,048
  5. Step 5: Solve for x
    x = 611,427,828,436,162,048/358,396,348.78
  6. Step 6: Final answer
    x = 1,706,010,204.95

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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.