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Finding the Third Proportional to 164,939,520 and 242,017,209

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Solution

The third proportional to 164,939,520 and 242,017,209 is: 355,113,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,939,520 : 242,017,209 = 242,017,209 : x
  2. Step 2: Convert to fraction form
    164,939,520/242,017,209 = 242,017,209/x
  3. Step 3: Cross multiply
    164,939,520x = 242,017,209 × 242,017,209
  4. Step 4: Simplify right side
    164,939,520x = 58,572,329,452,149,680
  5. Step 5: Solve for x
    x = 58,572,329,452,149,680/164,939,520
  6. Step 6: Final answer
    x = 355,113,980.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.