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Finding the Third Proportional to 265,394 and 390,207

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Solution

The third proportional to 265,394 and 390,207 is: 573,718.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,394 : 390,207 = 390,207 : x
  2. Step 2: Convert to fraction form
    265,394/390,207 = 390,207/x
  3. Step 3: Cross multiply
    265,394x = 390,207 × 390,207
  4. Step 4: Simplify right side
    265,394x = 152,261,502,849
  5. Step 5: Solve for x
    x = 152,261,502,849/265,394
  6. Step 6: Final answer
    x = 573,718.71

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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.