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Finding the Third Proportional to 88,160,161.50 and 205,868,812.50

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Solution

The third proportional to 88,160,161.50 and 205,868,812.50 is: 480,738,320.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,160,161.50 : 205,868,812.50 = 205,868,812.50 : x
  2. Step 2: Convert to fraction form
    88,160,161.50/205,868,812.50 = 205,868,812.50/x
  3. Step 3: Cross multiply
    88,160,161.50x = 205,868,812.50 × 205,868,812.50
  4. Step 4: Simplify right side
    88,160,161.50x = 42,381,967,960,160,160
  5. Step 5: Solve for x
    x = 42,381,967,960,160,160/88,160,161.50
  6. Step 6: Final answer
    x = 480,738,320.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.