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Finding the Third Proportional to 130,922 and 287,332

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Solution

The third proportional to 130,922 and 287,332 is: 630,602.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,922 : 287,332 = 287,332 : x
  2. Step 2: Convert to fraction form
    130,922/287,332 = 287,332/x
  3. Step 3: Cross multiply
    130,922x = 287,332 × 287,332
  4. Step 4: Simplify right side
    130,922x = 82,559,678,224
  5. Step 5: Solve for x
    x = 82,559,678,224/130,922
  6. Step 6: Final answer
    x = 630,602.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.