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Finding the Third Proportional to 242,362,078 and 383,833,362

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Solution

The third proportional to 242,362,078 and 383,833,362 is: 607,884,084.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,362,078 : 383,833,362 = 383,833,362 : x
  2. Step 2: Convert to fraction form
    242,362,078/383,833,362 = 383,833,362/x
  3. Step 3: Cross multiply
    242,362,078x = 383,833,362 × 383,833,362
  4. Step 4: Simplify right side
    242,362,078x = 147,328,049,784,223,040
  5. Step 5: Solve for x
    x = 147,328,049,784,223,040/242,362,078
  6. Step 6: Final answer
    x = 607,884,084.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.