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Finding the Third Proportional to 3,547,421.58 and 7,781,561.16

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Solution

The third proportional to 3,547,421.58 and 7,781,561.16 is: 17,069,494.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547,421.58 : 7,781,561.16 = 7,781,561.16 : x
  2. Step 2: Convert to fraction form
    3,547,421.58/7,781,561.16 = 7,781,561.16/x
  3. Step 3: Cross multiply
    3,547,421.58x = 7,781,561.16 × 7,781,561.16
  4. Step 4: Simplify right side
    3,547,421.58x = 60,552,694,028,458.84
  5. Step 5: Solve for x
    x = 60,552,694,028,458.84/3,547,421.58
  6. Step 6: Final answer
    x = 17,069,494.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.