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Finding the Third Proportional to 52,331,520 and 77,986,770

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Solution

The third proportional to 52,331,520 and 77,986,770 is: 116,219,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,331,520 : 77,986,770 = 77,986,770 : x
  2. Step 2: Convert to fraction form
    52,331,520/77,986,770 = 77,986,770/x
  3. Step 3: Cross multiply
    52,331,520x = 77,986,770 × 77,986,770
  4. Step 4: Simplify right side
    52,331,520x = 6,081,936,295,032,900
  5. Step 5: Solve for x
    x = 6,081,936,295,032,900/52,331,520
  6. Step 6: Final answer
    x = 116,219,370.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.