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Finding the Third Proportional to 192,415,521 and 420,113,640

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Solution

The third proportional to 192,415,521 and 420,113,640 is: 917,262,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,415,521 : 420,113,640 = 420,113,640 : x
  2. Step 2: Convert to fraction form
    192,415,521/420,113,640 = 420,113,640/x
  3. Step 3: Cross multiply
    192,415,521x = 420,113,640 × 420,113,640
  4. Step 4: Simplify right side
    192,415,521x = 176,495,470,514,049,600
  5. Step 5: Solve for x
    x = 176,495,470,514,049,600/192,415,521
  6. Step 6: Final answer
    x = 917,262,129.36

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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.