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Finding the Third Proportional to 12,570,655.78 and 19,221,486.05

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Solution

The third proportional to 12,570,655.78 and 19,221,486.05 is: 29,391,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570,655.78 : 19,221,486.05 = 19,221,486.05 : x
  2. Step 2: Convert to fraction form
    12,570,655.78/19,221,486.05 = 19,221,486.05/x
  3. Step 3: Cross multiply
    12,570,655.78x = 19,221,486.05 × 19,221,486.05
  4. Step 4: Simplify right side
    12,570,655.78x = 369,465,525,850,210.31
  5. Step 5: Solve for x
    x = 369,465,525,850,210.31/12,570,655.78
  6. Step 6: Final answer
    x = 29,391,109.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.