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Finding the Third Proportional to 53,972,901 and 78,935,125.50

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Solution

The third proportional to 53,972,901 and 78,935,125.50 is: 115,442,266.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,972,901 : 78,935,125.50 = 78,935,125.50 : x
  2. Step 2: Convert to fraction form
    53,972,901/78,935,125.50 = 78,935,125.50/x
  3. Step 3: Cross multiply
    53,972,901x = 78,935,125.50 × 78,935,125.50
  4. Step 4: Simplify right side
    53,972,901x = 6,230,754,037,700,750
  5. Step 5: Solve for x
    x = 6,230,754,037,700,750/53,972,901
  6. Step 6: Final answer
    x = 115,442,266.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.