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Finding the Third Proportional to 390,214 and 570,417

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Solution

The third proportional to 390,214 and 570,417 is: 833,838.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,214 : 570,417 = 570,417 : x
  2. Step 2: Convert to fraction form
    390,214/570,417 = 570,417/x
  3. Step 3: Cross multiply
    390,214x = 570,417 × 570,417
  4. Step 4: Simplify right side
    390,214x = 325,375,553,889
  5. Step 5: Solve for x
    x = 325,375,553,889/390,214
  6. Step 6: Final answer
    x = 833,838.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.