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Finding the Third Proportional to 180,017,010 and 392,742,388

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Solution

The third proportional to 180,017,010 and 392,742,388 is: 856,844,491.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,017,010 : 392,742,388 = 392,742,388 : x
  2. Step 2: Convert to fraction form
    180,017,010/392,742,388 = 392,742,388/x
  3. Step 3: Cross multiply
    180,017,010x = 392,742,388 × 392,742,388
  4. Step 4: Simplify right side
    180,017,010x = 154,246,583,331,942,528
  5. Step 5: Solve for x
    x = 154,246,583,331,942,528/180,017,010
  6. Step 6: Final answer
    x = 856,844,491.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.