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Finding the Third Proportional to 137,020,324 and 323,343,445

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Solution

The third proportional to 137,020,324 and 323,343,445 is: 763,032,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,020,324 : 323,343,445 = 323,343,445 : x
  2. Step 2: Convert to fraction form
    137,020,324/323,343,445 = 323,343,445/x
  3. Step 3: Cross multiply
    137,020,324x = 323,343,445 × 323,343,445
  4. Step 4: Simplify right side
    137,020,324x = 104,550,983,424,468,032
  5. Step 5: Solve for x
    x = 104,550,983,424,468,032/137,020,324
  6. Step 6: Final answer
    x = 763,032,668.24

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.