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Finding the Third Proportional to 493,153 and 742,565

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Solution

The third proportional to 493,153 and 742,565 is: 1,118,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,153 : 742,565 = 742,565 : x
  2. Step 2: Convert to fraction form
    493,153/742,565 = 742,565/x
  3. Step 3: Cross multiply
    493,153x = 742,565 × 742,565
  4. Step 4: Simplify right side
    493,153x = 551,402,779,225
  5. Step 5: Solve for x
    x = 551,402,779,225/493,153
  6. Step 6: Final answer
    x = 1,118,117.05

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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.