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Finding the Third Proportional to 187,758,769.50 and 287,218,264.50

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Solution

The third proportional to 187,758,769.50 and 287,218,264.50 is: 439,363,400.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,758,769.50 : 287,218,264.50 = 287,218,264.50 : x
  2. Step 2: Convert to fraction form
    187,758,769.50/287,218,264.50 = 287,218,264.50/x
  3. Step 3: Cross multiply
    187,758,769.50x = 287,218,264.50 × 287,218,264.50
  4. Step 4: Simplify right side
    187,758,769.50x = 82,494,331,462,391,968
  5. Step 5: Solve for x
    x = 82,494,331,462,391,968/187,758,769.50
  6. Step 6: Final answer
    x = 439,363,400.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.