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Finding the Third Proportional to 390,690,378 and 813,532,916.25

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Solution

The third proportional to 390,690,378 and 813,532,916.25 is: 1,694,016,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,690,378 : 813,532,916.25 = 813,532,916.25 : x
  2. Step 2: Convert to fraction form
    390,690,378/813,532,916.25 = 813,532,916.25/x
  3. Step 3: Cross multiply
    390,690,378x = 813,532,916.25 × 813,532,916.25
  4. Step 4: Simplify right side
    390,690,378x = 661,835,805,822,229,504
  5. Step 5: Solve for x
    x = 661,835,805,822,229,504/390,690,378
  6. Step 6: Final answer
    x = 1,694,016,139.35

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.