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Finding the Third Proportional to 426,839,280 and 918,390,432

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Solution

The third proportional to 426,839,280 and 918,390,432 is: 1,976,015,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,839,280 : 918,390,432 = 918,390,432 : x
  2. Step 2: Convert to fraction form
    426,839,280/918,390,432 = 918,390,432/x
  3. Step 3: Cross multiply
    426,839,280x = 918,390,432 × 918,390,432
  4. Step 4: Simplify right side
    426,839,280x = 843,440,985,589,146,624
  5. Step 5: Solve for x
    x = 843,440,985,589,146,624/426,839,280
  6. Step 6: Final answer
    x = 1,976,015,388.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.