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Finding the Third Proportional to 130,710 and 286,341

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Solution

The third proportional to 130,710 and 286,341 is: 627,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,710 : 286,341 = 286,341 : x
  2. Step 2: Convert to fraction form
    130,710/286,341 = 286,341/x
  3. Step 3: Cross multiply
    130,710x = 286,341 × 286,341
  4. Step 4: Simplify right side
    130,710x = 81,991,168,281
  5. Step 5: Solve for x
    x = 81,991,168,281/130,710
  6. Step 6: Final answer
    x = 627,275.41

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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.