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Finding the Third Proportional to 77,606,748 and 168,991,650

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Solution

The third proportional to 77,606,748 and 168,991,650 is: 367,985,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,606,748 : 168,991,650 = 168,991,650 : x
  2. Step 2: Convert to fraction form
    77,606,748/168,991,650 = 168,991,650/x
  3. Step 3: Cross multiply
    77,606,748x = 168,991,650 × 168,991,650
  4. Step 4: Simplify right side
    77,606,748x = 28,558,177,769,722,500
  5. Step 5: Solve for x
    x = 28,558,177,769,722,500/77,606,748
  6. Step 6: Final answer
    x = 367,985,755.18

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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.