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Finding the Third Proportional to 147,807,216 and 212,909,688

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Solution

The third proportional to 147,807,216 and 212,909,688 is: 306,686,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,807,216 : 212,909,688 = 212,909,688 : x
  2. Step 2: Convert to fraction form
    147,807,216/212,909,688 = 212,909,688/x
  3. Step 3: Cross multiply
    147,807,216x = 212,909,688 × 212,909,688
  4. Step 4: Simplify right side
    147,807,216x = 45,330,535,244,257,344
  5. Step 5: Solve for x
    x = 45,330,535,244,257,344/147,807,216
  6. Step 6: Final answer
    x = 306,686,888.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.