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Finding the Third Proportional to 210,088.69 and 455,802.19

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Solution

The third proportional to 210,088.69 and 455,802.19 is: 988,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,088.69 : 455,802.19 = 455,802.19 : x
  2. Step 2: Convert to fraction form
    210,088.69/455,802.19 = 455,802.19/x
  3. Step 3: Cross multiply
    210,088.69x = 455,802.19 × 455,802.19
  4. Step 4: Simplify right side
    210,088.69x = 207,755,634,129.79
  5. Step 5: Solve for x
    x = 207,755,634,129.79/210,088.69
  6. Step 6: Final answer
    x = 988,894.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.