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Finding the Third Proportional to 78,476,570 and 183,298,352

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Solution

The third proportional to 78,476,570 and 183,298,352 is: 428,131,426.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,476,570 : 183,298,352 = 183,298,352 : x
  2. Step 2: Convert to fraction form
    78,476,570/183,298,352 = 183,298,352/x
  3. Step 3: Cross multiply
    78,476,570x = 183,298,352 × 183,298,352
  4. Step 4: Simplify right side
    78,476,570x = 33,598,285,845,915,904
  5. Step 5: Solve for x
    x = 33,598,285,845,915,904/78,476,570
  6. Step 6: Final answer
    x = 428,131,426.31

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.