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Finding the Third Proportional to 66,952,663.88 and 145,078,196.63

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Solution

The third proportional to 66,952,663.88 and 145,078,196.63 is: 314,366,627.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,952,663.88 : 145,078,196.63 = 145,078,196.63 : x
  2. Step 2: Convert to fraction form
    66,952,663.88/145,078,196.63 = 145,078,196.63/x
  3. Step 3: Cross multiply
    66,952,663.88x = 145,078,196.63 × 145,078,196.63
  4. Step 4: Simplify right side
    66,952,663.88x = 21,047,683,135,962,160
  5. Step 5: Solve for x
    x = 21,047,683,135,962,160/66,952,663.88
  6. Step 6: Final answer
    x = 314,366,627.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.