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Finding the Third Proportional to 48,048,480 and 103,655,196

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Solution

The third proportional to 48,048,480 and 103,655,196 is: 223,615,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,480 : 103,655,196 = 103,655,196 : x
  2. Step 2: Convert to fraction form
    48,048,480/103,655,196 = 103,655,196/x
  3. Step 3: Cross multiply
    48,048,480x = 103,655,196 × 103,655,196
  4. Step 4: Simplify right side
    48,048,480x = 10,744,399,657,798,416
  5. Step 5: Solve for x
    x = 10,744,399,657,798,416/48,048,480
  6. Step 6: Final answer
    x = 223,615,807.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.