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Finding the Third Proportional to 199,277,012 and 431,306,428

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Solution

The third proportional to 199,277,012 and 431,306,428 is: 933,500,723.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,277,012 : 431,306,428 = 431,306,428 : x
  2. Step 2: Convert to fraction form
    199,277,012/431,306,428 = 431,306,428/x
  3. Step 3: Cross multiply
    199,277,012x = 431,306,428 × 431,306,428
  4. Step 4: Simplify right side
    199,277,012x = 186,025,234,834,119,168
  5. Step 5: Solve for x
    x = 186,025,234,834,119,168/199,277,012
  6. Step 6: Final answer
    x = 933,500,723.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.