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Finding the Third Proportional to 509,667,349.50 and 787,032,865.13

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Solution

The third proportional to 509,667,349.50 and 787,032,865.13 is: 1,215,343,167.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,667,349.50 : 787,032,865.13 = 787,032,865.13 : x
  2. Step 2: Convert to fraction form
    509,667,349.50/787,032,865.13 = 787,032,865.13/x
  3. Step 3: Cross multiply
    509,667,349.50x = 787,032,865.13 × 787,032,865.13
  4. Step 4: Simplify right side
    509,667,349.50x = 619,420,730,786,866,432
  5. Step 5: Solve for x
    x = 619,420,730,786,866,432/509,667,349.50
  6. Step 6: Final answer
    x = 1,215,343,167.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.