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Finding the Third Proportional to 293,657.06 and 390,457.13

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Solution

The third proportional to 293,657.06 and 390,457.13 is: 519,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,657.06 : 390,457.13 = 390,457.13 : x
  2. Step 2: Convert to fraction form
    293,657.06/390,457.13 = 390,457.13/x
  3. Step 3: Cross multiply
    293,657.06x = 390,457.13 × 390,457.13
  4. Step 4: Simplify right side
    293,657.06x = 152,456,766,463.27
  5. Step 5: Solve for x
    x = 152,456,766,463.27/293,657.06
  6. Step 6: Final answer
    x = 519,166.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.