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Finding the Third Proportional to 78,211,237.50 and 118,323,490.50

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Solution

The third proportional to 78,211,237.50 and 118,323,490.50 is: 179,008,143.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,237.50 : 118,323,490.50 = 118,323,490.50 : x
  2. Step 2: Convert to fraction form
    78,211,237.50/118,323,490.50 = 118,323,490.50/x
  3. Step 3: Cross multiply
    78,211,237.50x = 118,323,490.50 × 118,323,490.50
  4. Step 4: Simplify right side
    78,211,237.50x = 14,000,448,404,103,590
  5. Step 5: Solve for x
    x = 14,000,448,404,103,590/78,211,237.50
  6. Step 6: Final answer
    x = 179,008,143.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.