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Finding the Third Proportional to 99,477 and 157,518

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Solution

The third proportional to 99,477 and 157,518 is: 249,423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,477 : 157,518 = 157,518 : x
  2. Step 2: Convert to fraction form
    99,477/157,518 = 157,518/x
  3. Step 3: Cross multiply
    99,477x = 157,518 × 157,518
  4. Step 4: Simplify right side
    99,477x = 24,811,920,324
  5. Step 5: Solve for x
    x = 24,811,920,324/99,477
  6. Step 6: Final answer
    x = 249,423.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.