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Finding the Third Proportional to 13,209,712 and 18,602,178

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Solution

The third proportional to 13,209,712 and 18,602,178 is: 26,195,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209,712 : 18,602,178 = 18,602,178 : x
  2. Step 2: Convert to fraction form
    13,209,712/18,602,178 = 18,602,178/x
  3. Step 3: Cross multiply
    13,209,712x = 18,602,178 × 18,602,178
  4. Step 4: Simplify right side
    13,209,712x = 346,041,026,343,684
  5. Step 5: Solve for x
    x = 346,041,026,343,684/13,209,712
  6. Step 6: Final answer
    x = 26,195,955.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.