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Finding the Third Proportional to 318,924,054 and 499,643,640

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Solution

The third proportional to 318,924,054 and 499,643,640 is: 782,768,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,924,054 : 499,643,640 = 499,643,640 : x
  2. Step 2: Convert to fraction form
    318,924,054/499,643,640 = 499,643,640/x
  3. Step 3: Cross multiply
    318,924,054x = 499,643,640 × 499,643,640
  4. Step 4: Simplify right side
    318,924,054x = 249,643,766,992,449,600
  5. Step 5: Solve for x
    x = 249,643,766,992,449,600/318,924,054
  6. Step 6: Final answer
    x = 782,768,699.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.