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Finding the Third Proportional to 784,316 and 1,211,709

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Solution

The third proportional to 784,316 and 1,211,709 is: 1,871,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,316 : 1,211,709 = 1,211,709 : x
  2. Step 2: Convert to fraction form
    784,316/1,211,709 = 1,211,709/x
  3. Step 3: Cross multiply
    784,316x = 1,211,709 × 1,211,709
  4. Step 4: Simplify right side
    784,316x = 1,468,238,700,681
  5. Step 5: Solve for x
    x = 1,468,238,700,681/784,316
  6. Step 6: Final answer
    x = 1,871,998.91

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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.