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Finding the Third Proportional to 623,711 and 1,312,623

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Solution

The third proportional to 623,711 and 1,312,623 is: 2,762,463.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,711 : 1,312,623 = 1,312,623 : x
  2. Step 2: Convert to fraction form
    623,711/1,312,623 = 1,312,623/x
  3. Step 3: Cross multiply
    623,711x = 1,312,623 × 1,312,623
  4. Step 4: Simplify right side
    623,711x = 1,722,979,140,129
  5. Step 5: Solve for x
    x = 1,722,979,140,129/623,711
  6. Step 6: Final answer
    x = 2,762,463.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.