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Finding the Third Proportional to 61,884,416 and 128,854,480

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Solution

The third proportional to 61,884,416 and 128,854,480 is: 268,298,193.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,884,416 : 128,854,480 = 128,854,480 : x
  2. Step 2: Convert to fraction form
    61,884,416/128,854,480 = 128,854,480/x
  3. Step 3: Cross multiply
    61,884,416x = 128,854,480 × 128,854,480
  4. Step 4: Simplify right side
    61,884,416x = 16,603,477,016,070,400
  5. Step 5: Solve for x
    x = 16,603,477,016,070,400/61,884,416
  6. Step 6: Final answer
    x = 268,298,193.46

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.