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Finding the Third Proportional to 261,857,816 and 392,786,728

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Solution

The third proportional to 261,857,816 and 392,786,728 is: 589,180,098.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,857,816 : 392,786,728 = 392,786,728 : x
  2. Step 2: Convert to fraction form
    261,857,816/392,786,728 = 392,786,728/x
  3. Step 3: Cross multiply
    261,857,816x = 392,786,728 × 392,786,728
  4. Step 4: Simplify right side
    261,857,816x = 154,281,413,692,945,984
  5. Step 5: Solve for x
    x = 154,281,413,692,945,984/261,857,816
  6. Step 6: Final answer
    x = 589,180,098.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.