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Finding the Third Proportional to 205,983,386 and 428,898,612

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Solution

The third proportional to 205,983,386 and 428,898,612 is: 893,052,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,983,386 : 428,898,612 = 428,898,612 : x
  2. Step 2: Convert to fraction form
    205,983,386/428,898,612 = 428,898,612/x
  3. Step 3: Cross multiply
    205,983,386x = 428,898,612 × 428,898,612
  4. Step 4: Simplify right side
    205,983,386x = 183,954,019,375,526,528
  5. Step 5: Solve for x
    x = 183,954,019,375,526,528/205,983,386
  6. Step 6: Final answer
    x = 893,052,701.71

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.