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Finding the Third Proportional to 390,146 and 570,423

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Solution

The third proportional to 390,146 and 570,423 is: 834,001.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,146 : 570,423 = 570,423 : x
  2. Step 2: Convert to fraction form
    390,146/570,423 = 570,423/x
  3. Step 3: Cross multiply
    390,146x = 570,423 × 570,423
  4. Step 4: Simplify right side
    390,146x = 325,382,398,929
  5. Step 5: Solve for x
    x = 325,382,398,929/390,146
  6. Step 6: Final answer
    x = 834,001.63

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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.