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Finding the Third Proportional to 145,810 and 228,435

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Solution

The third proportional to 145,810 and 228,435 is: 357,880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,810 : 228,435 = 228,435 : x
  2. Step 2: Convert to fraction form
    145,810/228,435 = 228,435/x
  3. Step 3: Cross multiply
    145,810x = 228,435 × 228,435
  4. Step 4: Simplify right side
    145,810x = 52,182,549,225
  5. Step 5: Solve for x
    x = 52,182,549,225/145,810
  6. Step 6: Final answer
    x = 357,880.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.