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Finding the Third Proportional to 145,117,014 and 315,742,224

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Solution

The third proportional to 145,117,014 and 315,742,224 is: 686,984,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,117,014 : 315,742,224 = 315,742,224 : x
  2. Step 2: Convert to fraction form
    145,117,014/315,742,224 = 315,742,224/x
  3. Step 3: Cross multiply
    145,117,014x = 315,742,224 × 315,742,224
  4. Step 4: Simplify right side
    145,117,014x = 99,693,152,016,466,176
  5. Step 5: Solve for x
    x = 99,693,152,016,466,176/145,117,014
  6. Step 6: Final answer
    x = 686,984,587.60

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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.