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Finding the Third Proportional to 317,033,157 and 642,980,565

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Solution

The third proportional to 317,033,157 and 642,980,565 is: 1,304,040,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,033,157 : 642,980,565 = 642,980,565 : x
  2. Step 2: Convert to fraction form
    317,033,157/642,980,565 = 642,980,565/x
  3. Step 3: Cross multiply
    317,033,157x = 642,980,565 × 642,980,565
  4. Step 4: Simplify right side
    317,033,157x = 413,424,006,967,719,232
  5. Step 5: Solve for x
    x = 413,424,006,967,719,232/317,033,157
  6. Step 6: Final answer
    x = 1,304,040,280.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.