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Finding the Third Proportional to 145,160,829 and 215,020,126.50

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Solution

The third proportional to 145,160,829 and 215,020,126.50 is: 318,499,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,160,829 : 215,020,126.50 = 215,020,126.50 : x
  2. Step 2: Convert to fraction form
    145,160,829/215,020,126.50 = 215,020,126.50/x
  3. Step 3: Cross multiply
    145,160,829x = 215,020,126.50 × 215,020,126.50
  4. Step 4: Simplify right side
    145,160,829x = 46,233,654,800,076,000
  5. Step 5: Solve for x
    x = 46,233,654,800,076,000/145,160,829
  6. Step 6: Final answer
    x = 318,499,523.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.