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Finding the Third Proportional to 3,658,312.13 and 7,878,509.63

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Solution

The third proportional to 3,658,312.13 and 7,878,509.63 is: 16,967,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,312.13 : 7,878,509.63 = 7,878,509.63 : x
  2. Step 2: Convert to fraction form
    3,658,312.13/7,878,509.63 = 7,878,509.63/x
  3. Step 3: Cross multiply
    3,658,312.13x = 7,878,509.63 × 7,878,509.63
  4. Step 4: Simplify right side
    3,658,312.13x = 62,070,913,911,217.64
  5. Step 5: Solve for x
    x = 62,070,913,911,217.64/3,658,312.13
  6. Step 6: Final answer
    x = 16,967,090.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.