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Finding the Third Proportional to 492,660,528.75 and 688,769,608.50

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Solution

The third proportional to 492,660,528.75 and 688,769,608.50 is: 962,942,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,660,528.75 : 688,769,608.50 = 688,769,608.50 : x
  2. Step 2: Convert to fraction form
    492,660,528.75/688,769,608.50 = 688,769,608.50/x
  3. Step 3: Cross multiply
    492,660,528.75x = 688,769,608.50 × 688,769,608.50
  4. Step 4: Simplify right side
    492,660,528.75x = 474,403,573,593,243,264
  5. Step 5: Solve for x
    x = 474,403,573,593,243,264/492,660,528.75
  6. Step 6: Final answer
    x = 962,942,119.18

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.