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Finding the Third Proportional to 147,224,382 and 309,678,960

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Solution

The third proportional to 147,224,382 and 309,678,960 is: 651,393,858.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,224,382 : 309,678,960 = 309,678,960 : x
  2. Step 2: Convert to fraction form
    147,224,382/309,678,960 = 309,678,960/x
  3. Step 3: Cross multiply
    147,224,382x = 309,678,960 × 309,678,960
  4. Step 4: Simplify right side
    147,224,382x = 95,901,058,266,681,600
  5. Step 5: Solve for x
    x = 95,901,058,266,681,600/147,224,382
  6. Step 6: Final answer
    x = 651,393,858.57

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.