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Finding the Third Proportional to 187,164,810 and 290,953,887

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Solution

The third proportional to 187,164,810 and 290,953,887 is: 452,297,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,164,810 : 290,953,887 = 290,953,887 : x
  2. Step 2: Convert to fraction form
    187,164,810/290,953,887 = 290,953,887/x
  3. Step 3: Cross multiply
    187,164,810x = 290,953,887 × 290,953,887
  4. Step 4: Simplify right side
    187,164,810x = 84,654,164,360,408,768
  5. Step 5: Solve for x
    x = 84,654,164,360,408,768/187,164,810
  6. Step 6: Final answer
    x = 452,297,439.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.