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Finding the Third Proportional to 398,865,960 and 612,706,952

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Solution

The third proportional to 398,865,960 and 612,706,952 is: 941,192,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,865,960 : 612,706,952 = 612,706,952 : x
  2. Step 2: Convert to fraction form
    398,865,960/612,706,952 = 612,706,952/x
  3. Step 3: Cross multiply
    398,865,960x = 612,706,952 × 612,706,952
  4. Step 4: Simplify right side
    398,865,960x = 375,409,809,029,130,304
  5. Step 5: Solve for x
    x = 375,409,809,029,130,304/398,865,960
  6. Step 6: Final answer
    x = 941,192,898.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.