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Finding the Third Proportional to 288,688 and 424,284

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Solution

The third proportional to 288,688 and 424,284 is: 623,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,688 : 424,284 = 424,284 : x
  2. Step 2: Convert to fraction form
    288,688/424,284 = 424,284/x
  3. Step 3: Cross multiply
    288,688x = 424,284 × 424,284
  4. Step 4: Simplify right side
    288,688x = 180,016,912,656
  5. Step 5: Solve for x
    x = 180,016,912,656/288,688
  6. Step 6: Final answer
    x = 623,569.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.