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Finding the Third Proportional to 181,249,929 and 391,380,369

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Solution

The third proportional to 181,249,929 and 391,380,369 is: 845,123,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,249,929 : 391,380,369 = 391,380,369 : x
  2. Step 2: Convert to fraction form
    181,249,929/391,380,369 = 391,380,369/x
  3. Step 3: Cross multiply
    181,249,929x = 391,380,369 × 391,380,369
  4. Step 4: Simplify right side
    181,249,929x = 153,178,593,238,576,160
  5. Step 5: Solve for x
    x = 153,178,593,238,576,160/181,249,929
  6. Step 6: Final answer
    x = 845,123,604.10

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Why These Related Problems?

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