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Finding the Third Proportional to 317,909,830.50 and 429,389,344.50

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Solution

The third proportional to 317,909,830.50 and 429,389,344.50 is: 579,960,704.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,909,830.50 : 429,389,344.50 = 429,389,344.50 : x
  2. Step 2: Convert to fraction form
    317,909,830.50/429,389,344.50 = 429,389,344.50/x
  3. Step 3: Cross multiply
    317,909,830.50x = 429,389,344.50 × 429,389,344.50
  4. Step 4: Simplify right side
    317,909,830.50x = 184,375,209,170,139,680
  5. Step 5: Solve for x
    x = 184,375,209,170,139,680/317,909,830.50
  6. Step 6: Final answer
    x = 579,960,704.20

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.