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Finding the Third Proportional to 72,561,816 and 157,877,352

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Solution

The third proportional to 72,561,816 and 157,877,352 is: 343,503,782.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,561,816 : 157,877,352 = 157,877,352 : x
  2. Step 2: Convert to fraction form
    72,561,816/157,877,352 = 157,877,352/x
  3. Step 3: Cross multiply
    72,561,816x = 157,877,352 × 157,877,352
  4. Step 4: Simplify right side
    72,561,816x = 24,925,258,274,531,904
  5. Step 5: Solve for x
    x = 24,925,258,274,531,904/72,561,816
  6. Step 6: Final answer
    x = 343,503,782.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.