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Finding the Third Proportional to 130,688 and 195,510

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Solution

The third proportional to 130,688 and 195,510 is: 292,484.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,688 : 195,510 = 195,510 : x
  2. Step 2: Convert to fraction form
    130,688/195,510 = 195,510/x
  3. Step 3: Cross multiply
    130,688x = 195,510 × 195,510
  4. Step 4: Simplify right side
    130,688x = 38,224,160,100
  5. Step 5: Solve for x
    x = 38,224,160,100/130,688
  6. Step 6: Final answer
    x = 292,484.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.