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Finding the Third Proportional to 288,210 and 424,854

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Solution

The third proportional to 288,210 and 424,854 is: 626,282.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,210 : 424,854 = 424,854 : x
  2. Step 2: Convert to fraction form
    288,210/424,854 = 424,854/x
  3. Step 3: Cross multiply
    288,210x = 424,854 × 424,854
  4. Step 4: Simplify right side
    288,210x = 180,500,921,316
  5. Step 5: Solve for x
    x = 180,500,921,316/288,210
  6. Step 6: Final answer
    x = 626,282.65

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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.