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Finding the Third Proportional to 315,445,030 and 686,436,020

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Solution

The third proportional to 315,445,030 and 686,436,020 is: 1,493,744,915.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,445,030 : 686,436,020 = 686,436,020 : x
  2. Step 2: Convert to fraction form
    315,445,030/686,436,020 = 686,436,020/x
  3. Step 3: Cross multiply
    315,445,030x = 686,436,020 × 686,436,020
  4. Step 4: Simplify right side
    315,445,030x = 471,194,409,553,440,384
  5. Step 5: Solve for x
    x = 471,194,409,553,440,384/315,445,030
  6. Step 6: Final answer
    x = 1,493,744,915.09

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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.