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Finding the Third Proportional to 145,674,620 and 318,037,930

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Solution

The third proportional to 145,674,620 and 318,037,930 is: 694,342,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,674,620 : 318,037,930 = 318,037,930 : x
  2. Step 2: Convert to fraction form
    145,674,620/318,037,930 = 318,037,930/x
  3. Step 3: Cross multiply
    145,674,620x = 318,037,930 × 318,037,930
  4. Step 4: Simplify right side
    145,674,620x = 101,148,124,918,684,896
  5. Step 5: Solve for x
    x = 101,148,124,918,684,896/145,674,620
  6. Step 6: Final answer
    x = 694,342,809.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.