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Finding the Third Proportional to 384,552,479,074 and 565,309,203,494

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Solution

The third proportional to 384,552,479,074 and 565,309,203,494 is: 831,029,606,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,552,479,074 : 565,309,203,494 = 565,309,203,494 : x
  2. Step 2: Convert to fraction form
    384,552,479,074/565,309,203,494 = 565,309,203,494/x
  3. Step 3: Cross multiply
    384,552,479,074x = 565,309,203,494 × 565,309,203,494
  4. Step 4: Simplify right side
    384,552,479,074x = 319,574,495,555,020,715,458,560
  5. Step 5: Solve for x
    x = 319,574,495,555,020,715,458,560/384,552,479,074
  6. Step 6: Final answer
    x = 831,029,606,998.13

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.