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Finding the Third Proportional to 159,480 and 216,688

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Solution

The third proportional to 159,480 and 216,688 is: 294,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,480 : 216,688 = 216,688 : x
  2. Step 2: Convert to fraction form
    159,480/216,688 = 216,688/x
  3. Step 3: Cross multiply
    159,480x = 216,688 × 216,688
  4. Step 4: Simplify right side
    159,480x = 46,953,689,344
  5. Step 5: Solve for x
    x = 46,953,689,344/159,480
  6. Step 6: Final answer
    x = 294,417.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.