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Finding the Third Proportional to 228,312 and 358,141.50

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Solution

The third proportional to 228,312 and 358,141.50 is: 561,798.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,312 : 358,141.50 = 358,141.50 : x
  2. Step 2: Convert to fraction form
    228,312/358,141.50 = 358,141.50/x
  3. Step 3: Cross multiply
    228,312x = 358,141.50 × 358,141.50
  4. Step 4: Simplify right side
    228,312x = 128,265,334,022.25
  5. Step 5: Solve for x
    x = 128,265,334,022.25/228,312
  6. Step 6: Final answer
    x = 561,798.48

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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.