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Finding the Third Proportional to 239,602,152 and 342,397,020

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Solution

The third proportional to 239,602,152 and 342,397,020 is: 489,293,265.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,602,152 : 342,397,020 = 342,397,020 : x
  2. Step 2: Convert to fraction form
    239,602,152/342,397,020 = 342,397,020/x
  3. Step 3: Cross multiply
    239,602,152x = 342,397,020 × 342,397,020
  4. Step 4: Simplify right side
    239,602,152x = 117,235,719,304,880,400
  5. Step 5: Solve for x
    x = 117,235,719,304,880,400/239,602,152
  6. Step 6: Final answer
    x = 489,293,265.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.