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Finding the Third Proportional to 493,158 and 742,572

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Solution

The third proportional to 493,158 and 742,572 is: 1,118,126.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,158 : 742,572 = 742,572 : x
  2. Step 2: Convert to fraction form
    493,158/742,572 = 742,572/x
  3. Step 3: Cross multiply
    493,158x = 742,572 × 742,572
  4. Step 4: Simplify right side
    493,158x = 551,413,175,184
  5. Step 5: Solve for x
    x = 551,413,175,184/493,158
  6. Step 6: Final answer
    x = 1,118,126.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.