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Finding the Third Proportional to 115,732,710 and 176,312,296.50

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Solution

The third proportional to 115,732,710 and 176,312,296.50 is: 268,601,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,732,710 : 176,312,296.50 = 176,312,296.50 : x
  2. Step 2: Convert to fraction form
    115,732,710/176,312,296.50 = 176,312,296.50/x
  3. Step 3: Cross multiply
    115,732,710x = 176,312,296.50 × 176,312,296.50
  4. Step 4: Simplify right side
    115,732,710x = 31,086,025,897,103,912
  5. Step 5: Solve for x
    x = 31,086,025,897,103,912/115,732,710
  6. Step 6: Final answer
    x = 268,601,900.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.