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Finding the Third Proportional to 159,435,216 and 260,341,128

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Solution

The third proportional to 159,435,216 and 260,341,128 is: 425,109,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,435,216 : 260,341,128 = 260,341,128 : x
  2. Step 2: Convert to fraction form
    159,435,216/260,341,128 = 260,341,128/x
  3. Step 3: Cross multiply
    159,435,216x = 260,341,128 × 260,341,128
  4. Step 4: Simplify right side
    159,435,216x = 67,777,502,928,312,384
  5. Step 5: Solve for x
    x = 67,777,502,928,312,384/159,435,216
  6. Step 6: Final answer
    x = 425,109,989.05

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.