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Finding the Third Proportional to 509,691 and 712,888.50

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Solution

The third proportional to 509,691 and 712,888.50 is: 997,094.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,691 : 712,888.50 = 712,888.50 : x
  2. Step 2: Convert to fraction form
    509,691/712,888.50 = 712,888.50/x
  3. Step 3: Cross multiply
    509,691x = 712,888.50 × 712,888.50
  4. Step 4: Simplify right side
    509,691x = 508,210,013,432.25
  5. Step 5: Solve for x
    x = 508,210,013,432.25/509,691
  6. Step 6: Final answer
    x = 997,094.34

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.