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Finding the Third Proportional to 315,064.69 and 470,539.13

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Solution

The third proportional to 315,064.69 and 470,539.13 is: 702,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,064.69 : 470,539.13 = 470,539.13 : x
  2. Step 2: Convert to fraction form
    315,064.69/470,539.13 = 470,539.13/x
  3. Step 3: Cross multiply
    315,064.69x = 470,539.13 × 470,539.13
  4. Step 4: Simplify right side
    315,064.69x = 221,407,068,155.77
  5. Step 5: Solve for x
    x = 221,407,068,155.77/315,064.69
  6. Step 6: Final answer
    x = 702,735.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.