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Finding the Third Proportional to 656,880,705 and 918,359,478

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Solution

The third proportional to 656,880,705 and 918,359,478 is: 1,283,922,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,880,705 : 918,359,478 = 918,359,478 : x
  2. Step 2: Convert to fraction form
    656,880,705/918,359,478 = 918,359,478/x
  3. Step 3: Cross multiply
    656,880,705x = 918,359,478 × 918,359,478
  4. Step 4: Simplify right side
    656,880,705x = 843,384,130,832,432,512
  5. Step 5: Solve for x
    x = 843,384,130,832,432,512/656,880,705
  6. Step 6: Final answer
    x = 1,283,922,825.58

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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.