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Finding the Third Proportional to 210,688 and 459,248

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Solution

The third proportional to 210,688 and 459,248 is: 1,001,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,688 : 459,248 = 459,248 : x
  2. Step 2: Convert to fraction form
    210,688/459,248 = 459,248/x
  3. Step 3: Cross multiply
    210,688x = 459,248 × 459,248
  4. Step 4: Simplify right side
    210,688x = 210,908,725,504
  5. Step 5: Solve for x
    x = 210,908,725,504/210,688
  6. Step 6: Final answer
    x = 1,001,047.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.