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Finding the Third Proportional to 358,774 and 761,280

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Solution

The third proportional to 358,774 and 761,280 is: 1,615,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,774 : 761,280 = 761,280 : x
  2. Step 2: Convert to fraction form
    358,774/761,280 = 761,280/x
  3. Step 3: Cross multiply
    358,774x = 761,280 × 761,280
  4. Step 4: Simplify right side
    358,774x = 579,547,238,400
  5. Step 5: Solve for x
    x = 579,547,238,400/358,774
  6. Step 6: Final answer
    x = 1,615,354.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.