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Finding the Third Proportional to 156,943,413 and 258,423,716.25

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Solution

The third proportional to 156,943,413 and 258,423,716.25 is: 425,521,631.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,943,413 : 258,423,716.25 = 258,423,716.25 : x
  2. Step 2: Convert to fraction form
    156,943,413/258,423,716.25 = 258,423,716.25/x
  3. Step 3: Cross multiply
    156,943,413x = 258,423,716.25 × 258,423,716.25
  4. Step 4: Simplify right side
    156,943,413x = 66,782,817,120,460,512
  5. Step 5: Solve for x
    x = 66,782,817,120,460,512/156,943,413
  6. Step 6: Final answer
    x = 425,521,631.29

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.