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Finding the Third Proportional to 12,570,658.69 and 19,221,490.69

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Solution

The third proportional to 12,570,658.69 and 19,221,490.69 is: 29,391,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,570,658.69 : 19,221,490.69 = 19,221,490.69 : x
  2. Step 2: Convert to fraction form
    12,570,658.69/19,221,490.69 = 19,221,490.69/x
  3. Step 3: Cross multiply
    12,570,658.69x = 19,221,490.69 × 19,221,490.69
  4. Step 4: Simplify right side
    12,570,658.69x = 369,465,704,249,649.25
  5. Step 5: Solve for x
    x = 369,465,704,249,649.25/12,570,658.69
  6. Step 6: Final answer
    x = 29,391,117.32

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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.